10404613200 has 120 divisors (see below), whose sum is σ = 33372839200. Its totient is φ = 2770951680.

The previous prime is 10404613183. The next prime is 10404613223. The reversal of 10404613200 is 231640401.

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

It is a super-2 number, since 2×10404613200² (a number of 21 digits) contains 22 as substring.

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, 989571 + ... + 1000029.

Almost surely, 2^10404613200 is an apocalyptic number.

10404613200 is a gapful number since it is divisible by the number (10) 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 10404613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686419600).

10404613200 is an abundant number, since it is smaller than the sum of its proper divisors (22968226000).

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

10404613200 is a wasteful number, since it uses less digits than its factorization.

10404613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 10404613200 in words is "ten billion, four hundred four million, six hundred thirteen thousand, two hundred".