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41321400120 = 2332572111316381
BaseRepresentation
bin100110011110111100…
…101000011100111000
310221122202111121200200
4212132330220130320
51134111234300440
630552141002200
72661661051200
oct463674503470
9127582447620
1041321400120
1116584942560
128012553360
133b86a71020
141dddc9d400
15111ca02c30
hex99ef28738

41321400120 has 576 divisors, whose sum is σ = 183542617440. Its totient is φ = 7925299200.

The previous prime is 41321400037. The next prime is 41321400151. The reversal of 41321400120 is 2100412314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41321400093 and 41321400102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2514330 + ... + 2530710.

Almost surely, 241321400120 is an apocalyptic number.

41321400120 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 41321400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91771308720).

41321400120 is an abundant number, since it is smaller than the sum of its proper divisors (142221217320).

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

41321400120 is a wasteful number, since it uses less digits than its factorization.

41321400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41321400120 its reverse (2100412314), we get a palindrome (43421812434).

The spelling of 41321400120 in words is "forty-one billion, three hundred twenty-one million, four hundred thousand, one hundred twenty".