10403132400 has 120 divisors (see below), whose sum is σ = 37027483760. Its totient is φ = 2774165760.

The previous prime is 10403132351. The next prime is 10403132429. The reversal of 10403132400 is 423130401.

10403132400 is a `hidden beast` number, since 10 + 403 + 13 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470827 + ... + 492426.

Almost surely, 2^10403132400 is an apocalyptic number.

10403132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10403132400 is an abundant number, since it is smaller than the sum of its proper divisors (26624351360).

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

10403132400 is a wasteful number, since it uses less digits than its factorization.

10403132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963280 (or 963263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10403132400 its reverse (423130401), we get a palindrome (10826262801).

The spelling of 10403132400 in words is "ten billion, four hundred three million, one hundred thirty-two thousand, four hundred".