40355988400 has 360 divisors, whose sum is σ = 124455096864. Its totient is φ = 12457267200.

The previous prime is 40355988383. The next prime is 40355988427. The reversal of 40355988400 is 488955304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10444869 + ... + 10448731.

Almost surely, 2^40355988400 is an apocalyptic number.

40355988400 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 40355988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62227548432).

40355988400 is an abundant number, since it is smaller than the sum of its proper divisors (84099108464).

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

40355988400 is a wasteful number, since it uses less digits than its factorization.

40355988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 40355988400 in words is "forty billion, three hundred fifty-five million, nine hundred eighty-eight thousand, four hundred".