414471264552 has 256 divisors, whose sum is σ = 1205889638400. Its totient is φ = 133393003200.

The previous prime is 414471264499. The next prime is 414471264563. The reversal of 414471264552 is 255462174414.

414471264552 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 71 + 26 + 4 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414471264498 and 414471264507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426849427 + ... + 426850397.

It is an arithmetic number, because the mean of its divisors is an integer number (4710506400).

Almost surely, 2^414471264552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414471264552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602944819200).

414471264552 is an abundant number, since it is smaller than the sum of its proper divisors (791418373848).

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

414471264552 is an equidigital number, since it uses as much as digits as its factorization.

414471264552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1794 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 414471264552 in words is "four hundred fourteen billion, four hundred seventy-one million, two hundred sixty-four thousand, five hundred fifty-two".