414589180996 has 27 divisors (see below), whose sum is σ = 733308821469. Its totient is φ = 205095719808.

The previous prime is 414589180991. The next prime is 414589180997. The reversal of 414589180996 is 699081985414.

The square root of 414589180996 is 643886.

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

It can be written as a sum of positive squares in only one way, i.e., 186166360900 + 228422820096 = 431470^2 + 477936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414589180991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124912225 + ... + 124915543.

Almost surely, 2^414589180996 is an apocalyptic number.

414589180996 is the 643886-th square number.

It is an amenable number.

414589180996 is a deficient number, since it is larger than the sum of its proper divisors (318719640473).

414589180996 is an frugal number, since it uses more digits than its factorization.

414589180996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 64.

Multiplying 414589180996 by its sum of digits (64), we get a square (26533707583744 = 5151088²).

The spelling of 414589180996 in words is "four hundred fourteen billion, five hundred eighty-nine million, one hundred eighty thousand, nine hundred ninety-six".