13304600400 has 480 divisors, whose sum is σ = 53204650240. Its totient is φ = 2767011840.

The previous prime is 13304600399. The next prime is 13304600411. The reversal of 13304600400 is 400640331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7970766 + ... + 7972434.

Almost surely, 2^13304600400 is an apocalyptic number.

13304600400 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 13304600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26602325120).

13304600400 is an abundant number, since it is smaller than the sum of its proper divisors (39900049840).

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

13304600400 is a wasteful number, since it uses less digits than its factorization.

13304600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The spelling of 13304600400 in words is "thirteen billion, three hundred four million, six hundred thousand, four hundred".