10405233664 has 44 divisors (see below), whose sum is σ = 23771794624. Its totient is φ = 4459382784.

The previous prime is 10405233653. The next prime is 10405233733. The reversal of 10405233664 is 46633250401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 718644 + ... + 732979.

Almost surely, 2^10405233664 is an apocalyptic number.

10405233664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10405233664 is an abundant number, since it is smaller than the sum of its proper divisors (13366560960).

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

10405233664 is an equidigital number, since it uses as much as digits as its factorization.

10405233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451650 (or 1451632 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 10405233664 in words is "ten billion, four hundred five million, two hundred thirty-three thousand, six hundred sixty-four".