13967015040 has 384 divisors, whose sum is σ = 55713640320. Its totient is φ = 3186524160.

The previous prime is 13967015033. The next prime is 13967015089. The reversal of 13967015040 is 4051076931.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13967014986 and 13967015004.

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, 1070637 + ... + 1083603.

It is an arithmetic number, because the mean of its divisors is an integer number (145087605).

Almost surely, 2^13967015040 is an apocalyptic number.

13967015040 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 13967015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27856820160).

13967015040 is an abundant number, since it is smaller than the sum of its proper divisors (41746625280).

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

13967015040 is a wasteful number, since it uses less digits than its factorization.

13967015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13967015040 in words is "thirteen billion, nine hundred sixty-seven million, fifteen thousand, forty".