412824468640 has 48 divisors (see below), whose sum is σ = 991286319240. Its totient is φ = 162422737920.

The previous prime is 412824468619. The next prime is 412824468649. The reversal of 412824468640 is 46864428214.

It can be written as a sum of positive squares in 4 ways, for example, as 231310978704 + 181513489936 = 480948^2 + 426044^2 .

It is not an unprimeable number, because it can be changed into a prime (412824468649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21139035 + ... + 21158554.

Almost surely, 2^412824468640 is an apocalyptic number.

412824468640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412824468640 is an abundant number, since it is smaller than the sum of its proper divisors (578461850600).

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

412824468640 is a wasteful number, since it uses less digits than its factorization.

412824468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42297665 (or 42297657 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 49.

The spelling of 412824468640 in words is "four hundred twelve billion, eight hundred twenty-four million, four hundred sixty-eight thousand, six hundred forty".