10384460400 has 60 divisors (see below), whose sum is σ = 33264891992. Its totient is φ = 2769189120.

The previous prime is 10384460399. The next prime is 10384460413. The reversal of 10384460400 is 406448301.

10384460400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4325659 + ... + 4328058.

Almost surely, 2^10384460400 is an apocalyptic number.

10384460400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10384460400 is an abundant number, since it is smaller than the sum of its proper divisors (22880431592).

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

10384460400 is a wasteful number, since it uses less digits than its factorization.

10384460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653738 (or 8653727 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10384460400 in words is "ten billion, three hundred eighty-four million, four hundred sixty thousand, four hundred".