40621132800 has 528 divisors, whose sum is σ = 157992700320. Its totient is φ = 10192158720.

The previous prime is 40621132789. The next prime is 40621132829. The reversal of 40621132800 is 823112604.

40621132800 is a `hidden beast` number, since 4 + 0 + 621 + 1 + 32 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11748672 + ... + 11752128.

Almost surely, 2^40621132800 is an apocalyptic number.

40621132800 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 40621132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78996350160).

40621132800 is an abundant number, since it is smaller than the sum of its proper divisors (117371567520).

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

40621132800 is a wasteful number, since it uses less digits than its factorization.

40621132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40621132800 in words is "forty billion, six hundred twenty-one million, one hundred thirty-two thousand, eight hundred".