40355554400 has 144 divisors (see below), whose sum is σ = 113590167264. Its totient is φ = 13713530880.

The previous prime is 40355554391. The next prime is 40355554411. The reversal of 40355554400 is 445555304.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600914 + ... + 664686.

It is an arithmetic number, because the mean of its divisors is an integer number (788820606).

Almost surely, 2^40355554400 is an apocalyptic number.

40355554400 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 40355554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56795083632).

40355554400 is an abundant number, since it is smaller than the sum of its proper divisors (73234612864).

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

40355554400 is a wasteful number, since it uses less digits than its factorization.

40355554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63913 (or 63900 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 40355554400 in words is "forty billion, three hundred fifty-five million, five hundred fifty-four thousand, four hundred".