40104892800 has 576 divisors, whose sum is σ = 170753691600. Its totient is φ = 9165864960.

The previous prime is 40104892759. The next prime is 40104892801. The reversal of 40104892800 is 829840104.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40104892801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4228864 + ... + 4238336.

Almost surely, 2^40104892800 is an apocalyptic number.

40104892800 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 40104892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85376845800).

40104892800 is an abundant number, since it is smaller than the sum of its proper divisors (130648798800).

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

40104892800 is a wasteful number, since it uses less digits than its factorization.

40104892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 40104892800 in words is "forty billion, one hundred four million, eight hundred ninety-two thousand, eight hundred".