13958430480 has 120 divisors (see below), whose sum is σ = 46986372888. Its totient is φ = 3713568768.

The previous prime is 13958430467. The next prime is 13958430517. The reversal of 13958430480 is 8403485931.

13958430480 is a `hidden beast` number, since 1 + 3 + 95 + 84 + 3 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 498718224 + 13459712256 = 22332^2 + 116016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 289374 + ... + 334146.

Almost surely, 2^13958430480 is an apocalyptic number.

13958430480 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 13958430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23493186444).

13958430480 is an abundant number, since it is smaller than the sum of its proper divisors (33027942408).

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

13958430480 is a wasteful number, since it uses less digits than its factorization.

13958430480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45225 (or 45216 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13958430480 in words is "thirteen billion, nine hundred fifty-eight million, four hundred thirty thousand, four hundred eighty".