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41027056896 = 2837171923627
BaseRepresentation
bin100110001101011001…
…110011010100000000
310220220020122102200210
4212031121303110000
51133010411310041
630503024114120
72651455141530
oct461531632400
9126806572623
1041027056896
11164437820a1
127b4ba65940
133b3aaa3c37
141db2b5d4c0
151101c60016
hex98d673500

41027056896 has 288 divisors, whose sum is σ = 139091420160. Its totient is φ = 10451386368.

The previous prime is 41027056891. The next prime is 41027056901. The reversal of 41027056896 is 69865072014.

It is an interprime number because it is at equal distance from previous prime (41027056891) and next prime (41027056901).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41027056891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1724635 + ... + 1748261.

It is an arithmetic number, because the mean of its divisors is an integer number (482956320).

Almost surely, 241027056896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41027056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69545710080).

41027056896 is an abundant number, since it is smaller than the sum of its proper divisors (98064363264).

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

41027056896 is a wasteful number, since it uses less digits than its factorization.

41027056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23689 (or 23675 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 41027056896 in words is "forty-one billion, twenty-seven million, fifty-six thousand, eight hundred ninety-six".