414220154545025 has 24 divisors (see below), whose sum is σ = 543848035884120. Its totient is φ = 311882642677760.

The previous prime is 414220154545007. The next prime is 414220154545027. The reversal of 414220154545025 is 520545451022414.

It can be written as a sum of positive squares in 12 ways, for example, as 5031300219136 + 409188854325889 = 2243056^2 + 20228417^2 .

It is not a de Polignac number, because 414220154545025 - 2²⁸ = 414219886109569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414220154545027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219233561 + ... + 221114889.

It is an arithmetic number, because the mean of its divisors is an integer number (22660334828505).

Almost surely, 2^{414220154545025} is an apocalyptic number.

It is an amenable number.

414220154545025 is a deficient number, since it is larger than the sum of its proper divisors (129627881339095).

414220154545025 is a wasteful number, since it uses less digits than its factorization.

414220154545025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399413 (or 2399408 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 44.

The spelling of 414220154545025 in words is "four hundred fourteen trillion, two hundred twenty billion, one hundred fifty-four million, five hundred forty-five thousand, twenty-five".