41331578400 has 648 divisors, whose sum is σ = 175860462960. Its totient is φ = 9445040640.

The previous prime is 41331578359. The next prime is 41331578411. The reversal of 41331578400 is 487513314.

It is a happy number.

41331578400 is a `hidden beast` number, since 4 + 13 + 31 + 578 + 40 + 0 = 666.

41331578400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 107 ways as a sum of consecutive naturals, for example, 9523431 + ... + 9527769.

Almost surely, 2^41331578400 is an apocalyptic number.

41331578400 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 41331578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87930231480).

41331578400 is an abundant number, since it is smaller than the sum of its proper divisors (134528884560).

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

41331578400 is a wasteful number, since it uses less digits than its factorization.

41331578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41331578400 in words is "forty-one billion, three hundred thirty-one million, five hundred seventy-eight thousand, four hundred".