414085815025 has 81 divisors (see below), whose sum is σ = 546301701027. Its totient is φ = 311348620800.

The previous prime is 414085815019. The next prime is 414085815029. The reversal of 414085815025 is 520518580414.

The square root of 414085815025 is 643495.

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

It can be written as a sum of positive squares in 13 ways, for example, as 405169167841 + 8916647184 = 636529^2 + 94428^2 .

It is not a de Polignac number, because 414085815025 - 2⁷ = 414085814897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414085815029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5672408389 + ... + 5672408461.

Almost surely, 2^414085815025 is an apocalyptic number.

414085815025 is the 643495-th square number.

414085815025 is the 321748-th centered octagonal number.

It is an amenable number.

414085815025 is a deficient number, since it is larger than the sum of its proper divisors (132215886002).

414085815025 is an frugal number, since it uses more digits than its factorization.

414085815025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 43.

The spelling of 414085815025 in words is "four hundred fourteen billion, eighty-five million, eight hundred fifteen thousand, twenty-five".