40331390400 has 1512 divisors, whose sum is σ = 181340424720. Its totient is φ = 8778792960.

The previous prime is 40331390377. The next prime is 40331390441. The reversal of 40331390400 is 409313304.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 552484764 + ... + 552484836.

Almost surely, 2^40331390400 is an apocalyptic number.

40331390400 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 40331390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90670212360).

40331390400 is an abundant number, since it is smaller than the sum of its proper divisors (141009034320).

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

40331390400 is a wasteful number, since it uses less digits than its factorization.

40331390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 40331390400 in words is "forty billion, three hundred thirty-one million, three hundred ninety thousand, four hundred".