414171137928025 has 27 divisors (see below), whose sum is σ = 515522569389373. Its totient is φ = 330083358135200.

The previous prime is 414171137928013. The next prime is 414171137928113. The reversal of 414171137928025 is 520829731171414.

The square root of 414171137928025 is 20351195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 158863916599129 + 255307221328896 = 12604123^2 + 15978336^2 .

It is not a de Polignac number, because 414171137928025 - 2²¹ = 414171135830873 is a prime.

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, 27372349710 + ... + 27372364840.

Almost surely, 2^{414171137928025} is an apocalyptic number.

414171137928025 is the 20351195-th square number.

414171137928025 is the 10175598-th centered octagonal number.

It is an amenable number.

414171137928025 is a deficient number, since it is larger than the sum of its proper divisors (101351431461348).

414171137928025 is an frugal number, since it uses more digits than its factorization.

414171137928025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30810 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 414171137928025 in words is "four hundred fourteen trillion, one hundred seventy-one billion, one hundred thirty-seven million, nine hundred twenty-eight thousand, twenty-five".