13995681328440 has 1920 divisors, whose sum is σ = 60111294566400. Its totient is φ = 2900764016640.

The previous prime is 13995681328427. The next prime is 13995681328469. The reversal of 13995681328440 is 4482318659931.

13995681328440 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 56 + 8 + 132 + 8 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9070434309 + ... + 9070435851.

It is an arithmetic number, because the mean of its divisors is an integer number (31307965920).

Almost surely, 2^{13995681328440} is an apocalyptic number.

13995681328440 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 13995681328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30055647283200).

13995681328440 is an abundant number, since it is smaller than the sum of its proper divisors (46115613237960).

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

13995681328440 is a wasteful number, since it uses less digits than its factorization.

13995681328440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13995681328440 in words is "thirteen trillion, nine hundred ninety-five billion, six hundred eighty-one million, three hundred twenty-eight thousand, four hundred forty".