13484940480 has 896 divisors, whose sum is σ = 56180736000. Its totient is φ = 3010867200.

The previous prime is 13484940451. The next prime is 13484940493. The reversal of 13484940480 is 8404948431.

13484940480 is a `hidden beast` number, since 1 + 3 + 4 + 84 + 94 + 0 + 480 = 666.

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 127 ways as a sum of consecutive naturals, for example, 67763421 + ... + 67763619.

Almost surely, 2^13484940480 is an apocalyptic number.

13484940480 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 13484940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090368000).

13484940480 is an abundant number, since it is smaller than the sum of its proper divisors (42695795520).

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

13484940480 is a wasteful number, since it uses less digits than its factorization.

13484940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13484940480 in words is "thirteen billion, four hundred eighty-four million, nine hundred forty thousand, four hundred eighty".