10405163400 has 48 divisors (see below), whose sum is σ = 32256008400. Its totient is φ = 2774710080.

The previous prime is 10405163371. The next prime is 10405163411. The reversal of 10405163400 is 436150401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 8670370 + ... + 8671569.

It is an arithmetic number, because the mean of its divisors is an integer number (672000175).

Almost surely, 2^10405163400 is an apocalyptic number.

10405163400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405163400 is an abundant number, since it is smaller than the sum of its proper divisors (21850845000).

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

10405163400 is a wasteful number, since it uses less digits than its factorization.

10405163400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17341958 (or 17341949 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10405163400 in words is "ten billion, four hundred five million, one hundred sixty-three thousand, four hundred".