40021587993600 has 2112 divisors, whose sum is σ = 162112024166400. Its totient is φ = 9641457745920.

The previous prime is 40021587993529. The next prime is 40021587993613. The reversal of 40021587993600 is 639978512004.

40021587993600 is a `hidden beast` number, since 4 + 0 + 0 + 21 + 5 + 8 + 7 + 9 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21668427877 + ... + 21668429723.

It is an arithmetic number, because the mean of its divisors is an integer number (76757587200).

It is a 1-persistent number, because it is pandigital, but 2⋅40021587993600 = 80043175987200 is not.

Almost surely, 2^{40021587993600} is an apocalyptic number.

40021587993600 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 40021587993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81056012083200).

40021587993600 is an abundant number, since it is smaller than the sum of its proper divisors (122090436172800).

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

40021587993600 is a wasteful number, since it uses less digits than its factorization.

40021587993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 40021587993600 in words is "forty trillion, twenty-one billion, five hundred eighty-seven million, nine hundred ninety-three thousand, six hundred".