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41405221200000 = 2735574929193
BaseRepresentation
bin10010110101000011001111…
…00000000110000010000000
312102121022010001112020201010
421122201213200012002000
520411340343111400000
6224021143535240520
711502266660133150
oct1132414740060200
9172538101466633
1041405221200000
1112213945a32189
124788738979140
131a14659acab98
14a320482c6760
154bc0a1428d50
hex25a867806080

41405221200000 has 384 divisors, whose sum is σ = 157108003194240. Its totient is φ = 9464048640000.

The previous prime is 41405221199983. The next prime is 41405221200017. The reversal of 41405221200000 is 212250414.

It is an interprime number because it is at equal distance from previous prime (41405221199983) and next prime (41405221200017).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 41405221200000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5935404 + ... + 10864596.

It is an arithmetic number, because the mean of its divisors is an integer number (409135424985).

Almost surely, 241405221200000 is an apocalyptic number.

41405221200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41405221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78554001597120).

41405221200000 is an abundant number, since it is smaller than the sum of its proper divisors (115702781994240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41405221200000 is an frugal number, since it uses more digits than its factorization.

41405221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929242 (or 4929210 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 41405221200000 its reverse (212250414), we get a palindrome (41405433450414).

The spelling of 41405221200000 in words is "forty-one trillion, four hundred five billion, two hundred twenty-one million, two hundred thousand".