414201355425 has 72 divisors (see below), whose sum is σ = 871580131968. Its totient is φ = 185376816000.

The previous prime is 414201355391. The next prime is 414201355433. The reversal of 414201355425 is 524553102414.

414201355425 is a `hidden beast` number, since 41 + 42 + 0 + 1 + 3 + 554 + 25 = 666.

It is not a de Polignac number, because 414201355425 - 2⁷ = 414201355297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414201355425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6404521 + ... + 6468870.

Almost surely, 2^414201355425 is an apocalyptic number.

414201355425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414201355425 is an abundant number, since it is smaller than the sum of its proper divisors (457378776543).

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

414201355425 is a wasteful number, since it uses less digits than its factorization.

414201355425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873431 (or 12873423 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 414201355425 its reverse (524553102414), we get a palindrome (938754457839).

The spelling of 414201355425 in words is "four hundred fourteen billion, two hundred one million, three hundred fifty-five thousand, four hundred twenty-five".