20404805639400 has 768 divisors, whose sum is σ = 87544796774400. Its totient is φ = 4253311503360.

The previous prime is 20404805639377. The next prime is 20404805639437. The reversal of 20404805639400 is 493650840402.

20404805639400 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 8 + 0 + 5 + 639 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 40536057 + ... + 41036343.

It is an arithmetic number, because the mean of its divisors is an integer number (113990620800).

Almost surely, 2^{20404805639400} is an apocalyptic number.

20404805639400 is a gapful number since it is divisible by the number (20) 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 20404805639400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43772398387200).

20404805639400 is an abundant number, since it is smaller than the sum of its proper divisors (67139991135000).

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

20404805639400 is a wasteful number, since it uses less digits than its factorization.

20404805639400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500415 (or 500400 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20404805639400 in words is "twenty trillion, four hundred four billion, eight hundred five million, six hundred thirty-nine thousand, four hundred".