41901437952 has 264 divisors, whose sum is σ = 135567929952. Its totient is φ = 12353126400.

The previous prime is 41901437923. The next prime is 41901437969. The reversal of 41901437952 is 25973410914.

41901437952 is a `hidden beast` number, since 41 + 90 + 1 + 437 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 41901437898 and 41901437907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3745327 + ... + 3756497.

Almost surely, 2^41901437952 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 41901437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67783964976).

41901437952 is an abundant number, since it is smaller than the sum of its proper divisors (93666492000).

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

41901437952 is a wasteful number, since it uses less digits than its factorization.

41901437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 41901437952 in words is "forty-one billion, nine hundred one million, four hundred thirty-seven thousand, nine hundred fifty-two".