13670929440 has 1152 divisors, whose sum is σ = 61431955200. Its totient is φ = 2817884160.

The previous prime is 13670929429. The next prime is 13670929553. The reversal of 13670929440 is 4492907631.

It is a happy number.

13670929440 is a `hidden beast` number, since 136 + 70 + 9 + 2 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104358175 + ... + 104358305.

It is an arithmetic number, because the mean of its divisors is an integer number (53326350).

Almost surely, 2^13670929440 is an apocalyptic number.

13670929440 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 13670929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715977600).

13670929440 is an abundant number, since it is smaller than the sum of its proper divisors (47761025760).

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

13670929440 is a wasteful number, since it uses less digits than its factorization.

13670929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13670929440 in words is "thirteen billion, six hundred seventy million, nine hundred twenty-nine thousand, four hundred forty".