13961424960 has 1008 divisors, whose sum is σ = 60710307840. Its totient is φ = 2926264320.

The previous prime is 13961424901. The next prime is 13961424991. The reversal of 13961424960 is 6942416931.

13961424960 is a `hidden beast` number, since 1 + 3 + 9 + 614 + 24 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13961424960² (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 143 ways as a sum of consecutive naturals, for example, 109932417 + ... + 109932543.

It is an arithmetic number, because the mean of its divisors is an integer number (60228480).

Almost surely, 2^13961424960 is an apocalyptic number.

13961424960 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 13961424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355153920).

13961424960 is an abundant number, since it is smaller than the sum of its proper divisors (46748882880).

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

13961424960 is a wasteful number, since it uses less digits than its factorization.

13961424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13961424960 in words is "thirteen billion, nine hundred sixty-one million, four hundred twenty-four thousand, nine hundred sixty".