13390476480 has 336 divisors, whose sum is σ = 48956244480. Its totient is φ = 3349776384.

The previous prime is 13390476413. The next prime is 13390476497. The reversal of 13390476480 is 8467409331.

13390476480 is a `hidden beast` number, since 13 + 3 + 90 + 4 + 76 + 480 = 666.

It is a super-2 number, since 2×13390476480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5853897 + ... + 5856183.

Almost surely, 2^13390476480 is an apocalyptic number.

13390476480 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 13390476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478122240).

13390476480 is an abundant number, since it is smaller than the sum of its proper divisors (35565768000).

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

13390476480 is a wasteful number, since it uses less digits than its factorization.

13390476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13390476480 in words is "thirteen billion, three hundred ninety million, four hundred seventy-six thousand, four hundred eighty".