409118861376 has 189 divisors, whose sum is σ = 1215819433101. Its totient is φ = 131527162368.

The previous prime is 409118861201. The next prime is 409118861387. The reversal of 409118861376 is 673168811904.

The square root of 409118861376 is 639624.

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

409118861376 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 18 + 8 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214532006976 + 194586854400 = 463176^2 + 441120^2 .

It is a super-2 number, since 2×409118861376² (a number of 24 digits) contains 22 as substring.

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, 445177845 + ... + 445178763.

Almost surely, 2^409118861376 is an apocalyptic number.

409118861376 is the 639624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409118861376

409118861376 is an abundant number, since it is smaller than the sum of its proper divisors (806700571725).

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

409118861376 is an frugal number, since it uses more digits than its factorization.

409118861376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 409118861376 in words is "four hundred nine billion, one hundred eighteen million, eight hundred sixty-one thousand, three hundred seventy-six".