409739373680400 has 135 divisors (see below), whose sum is σ = 1421913657902101. Its totient is φ = 109263509109120.

The previous prime is 409739373680363. The next prime is 409739373680447. The reversal of 409739373680400 is 4086373937904.

The square root of 409739373680400 is 20242020.

It is a perfect power (a square), and thus also a powerful number.

409739373680400 is a `hidden beast` number, since 4 + 0 + 9 + 73 + 93 + 73 + 6 + 8 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147506174524944 + 262233199155456 = 12145212^2 + 16193616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1214352517 + ... + 1214689883.

Almost surely, 2^{409739373680400} is an apocalyptic number.

409739373680400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

409739373680400 is the 20242020-th square number.

It is an amenable number.

409739373680400 is an abundant number, since it is smaller than the sum of its proper divisors (1012174284221701).

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

409739373680400 is an frugal number, since it uses more digits than its factorization.

409739373680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674758 (or 337377 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 409739373680400 in words is "four hundred nine trillion, seven hundred thirty-nine billion, three hundred seventy-three million, six hundred eighty thousand, four hundred".