41508052992 has 896 divisors, whose sum is σ = 158535014400. Its totient is φ = 10446962688.

The previous prime is 41508052969. The next prime is 41508053021. The reversal of 41508052992 is 29925080514.

It is a happy number.

41508052992 is a `hidden beast` number, since 4 + 1 + 508 + 0 + 52 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500096983 + ... + 500097065.

It is an arithmetic number, because the mean of its divisors is an integer number (176936400).

Almost surely, 2^41508052992 is an apocalyptic number.

41508052992 is a gapful number since it is divisible by the number (42) 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 41508052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79267507200).

41508052992 is an abundant number, since it is smaller than the sum of its proper divisors (117026961408).

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

41508052992 is a wasteful number, since it uses less digits than its factorization.

41508052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 41508052992 in words is "forty-one billion, five hundred eight million, fifty-two thousand, nine hundred ninety-two".