414557005012929 has 21 divisors (see below), whose sum is σ = 621551999099793. Its totient is φ = 276370970183172.

The previous prime is 414557005012921. The next prime is 414557005012963. The reversal of 414557005012929 is 929210500755414.

The square root of 414557005012929 is 20360673.

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

414557005012929 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 570 + 0 + 50 + 12 + 9 + 2 + 9 = 666.

It is not a de Polignac number, because 414557005012929 - 2³ = 414557005012921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414557005012921) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 549361122 + ... + 550115220.

Almost surely, 2^{414557005012929} is an apocalyptic number.

414557005012929 is the 20360673-rd square number.

414557005012929 is the 10180337-th centered octagonal number.

It is an amenable number.

414557005012929 is a deficient number, since it is larger than the sum of its proper divisors (206994994086864).

414557005012929 is an frugal number, since it uses more digits than its factorization.

414557005012929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508216 (or 754102 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 414557005012929 in words is "four hundred fourteen trillion, five hundred fifty-seven billion, five million, twelve thousand, nine hundred twenty-nine".