405632314920 has 128 divisors (see below), whose sum is σ = 1392065648640. Its totient is φ = 92627539200.

The previous prime is 405632314909. The next prime is 405632314939. The reversal of 405632314920 is 29413236504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653109 + ... + 1112571.

It is an arithmetic number, because the mean of its divisors is an integer number (10875512880).

Almost surely, 2^405632314920 is an apocalyptic number.

405632314920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405632314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696032824320).

405632314920 is an abundant number, since it is smaller than the sum of its proper divisors (986433333720).

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

405632314920 is a wasteful number, since it uses less digits than its factorization.

405632314920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460535 (or 460531 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 405632314920 in words is "four hundred five billion, six hundred thirty-two million, three hundred fourteen thousand, nine hundred twenty".