13965391440 has 800 divisors, whose sum is σ = 65154329856. Its totient is φ = 2677432320.

The previous prime is 13965391327. The next prime is 13965391471. The reversal of 13965391440 is 4419356931.

13965391440 is a `hidden beast` number, since 13 + 96 + 539 + 14 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6485404 + ... + 6487556.

Almost surely, 2^13965391440 is an apocalyptic number.

13965391440 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 13965391440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577164928).

13965391440 is an abundant number, since it is smaller than the sum of its proper divisors (51188938416).

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

13965391440 is a wasteful number, since it uses less digits than its factorization.

13965391440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13965391440 in words is "thirteen billion, nine hundred sixty-five million, three hundred ninety-one thousand, four hundred forty".