13940630776800 has 4320 divisors, whose sum is σ = 67619622692160. Its totient is φ = 2719634227200.

The previous prime is 13940630776739. The next prime is 13940630776819. The reversal of 13940630776800 is 867703604931.

13940630776800 is a `hidden beast` number, since 139 + 406 + 30 + 7 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 127895695146 + ... + 127895695254.

It is an arithmetic number, because the mean of its divisors is an integer number (15652690438).

Almost surely, 2^{13940630776800} is an apocalyptic number.

13940630776800 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 13940630776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33809811346080).

13940630776800 is an abundant number, since it is smaller than the sum of its proper divisors (53678991915360).

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

13940630776800 is a wasteful number, since it uses less digits than its factorization.

13940630776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 13940630776800 in words is "thirteen trillion, nine hundred forty billion, six hundred thirty million, seven hundred seventy-six thousand, eight hundred".