41952111264 has 432 divisors, whose sum is σ = 149236214400. Its totient is φ = 11110514688.

The previous prime is 41952111239. The next prime is 41952111281. The reversal of 41952111264 is 46211125914.

41952111264 is a `hidden beast` number, since 4 + 1 + 9 + 521 + 1 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12600352 + ... + 12603680.

It is an arithmetic number, because the mean of its divisors is an integer number (345454200).

Almost surely, 2^41952111264 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 41952111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74618107200).

41952111264 is an abundant number, since it is smaller than the sum of its proper divisors (107284103136).

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

41952111264 is a wasteful number, since it uses less digits than its factorization.

41952111264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3407 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 41952111264 in words is "forty-one billion, nine hundred fifty-two million, one hundred eleven thousand, two hundred sixty-four".