416354015025 has 135 divisors (see below), whose sum is σ = 835878387729. Its totient is φ = 204788450880.

The previous prime is 416354014997. The next prime is 416354015039. The reversal of 416354015025 is 520510453614.

The square root of 416354015025 is 645255.

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

416354015025 is a `hidden beast` number, since 4 + 1 + 63 + 540 + 1 + 50 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107315863281 + 309038151744 = 327591^2 + 555912^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-416354015025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 377473624 + ... + 377474726.

Almost surely, 2^416354015025 is an apocalyptic number.

416354015025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

416354015025 is the 645255-th square number.

416354015025 is the 322628-th centered octagonal number.

It is an amenable number.

416354015025 is an abundant number, since it is smaller than the sum of its proper divisors (419524372704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416354015025 is an equidigital number, since it uses as much as digits as its factorization.

416354015025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 416354015025 by its sum of digits (36), we get a square (14988744540900 = 3871530²).

Adding to 416354015025 its reverse (520510453614), we get a palindrome (936864468639).

The spelling of 416354015025 in words is "four hundred sixteen billion, three hundred fifty-four million, fifteen thousand, twenty-five".