13407930900 has 432 divisors, whose sum is σ = 53403470848. Its totient is φ = 2737152000.

The previous prime is 13407930859. The next prime is 13407930917. The reversal of 13407930900 is 903970431.

13407930900 is a `hidden beast` number, since 1 + 340 + 7 + 9 + 309 + 0 + 0 = 666.

It is a super-2 number, since 2×13407930900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2536260 + ... + 2541540.

Almost surely, 2^13407930900 is an apocalyptic number.

13407930900 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 13407930900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701735424).

13407930900 is an abundant number, since it is smaller than the sum of its proper divisors (39995539948).

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

13407930900 is a wasteful number, since it uses less digits than its factorization.

13407930900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13407930900 in words is "thirteen billion, four hundred seven million, nine hundred thirty thousand, nine hundred".