414694826952 has 64 divisors (see below), whose sum is σ = 1216865147520. Its totient is φ = 115281957888.

The previous prime is 414694826939. The next prime is 414694826957. The reversal of 414694826952 is 259628496414.

It is a super-2 number, since 2×414694826952² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414694826957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33350833 + ... + 33363264.

It is an arithmetic number, because the mean of its divisors is an integer number (19013517930).

Almost surely, 2^414694826952 is an apocalyptic number.

414694826952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414694826952 is an abundant number, since it is smaller than the sum of its proper divisors (802170320568).

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

414694826952 is a wasteful number, since it uses less digits than its factorization.

414694826952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66714150 (or 66714146 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The spelling of 414694826952 in words is "four hundred fourteen billion, six hundred ninety-four million, eight hundred twenty-six thousand, nine hundred fifty-two".