13940488800 has 720 divisors, whose sum is σ = 59036658912. Its totient is φ = 3135283200.

The previous prime is 13940488787. The next prime is 13940488811. The reversal of 13940488800 is 888404931.

13940488800 is a `hidden beast` number, since 1 + 3 + 94 + 0 + 488 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 33112590 + ... + 33113010.

Almost surely, 2^13940488800 is an apocalyptic number.

13940488800 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 13940488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29518329456).

13940488800 is an abundant number, since it is smaller than the sum of its proper divisors (45096170112).

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

13940488800 is a wasteful number, since it uses less digits than its factorization.

13940488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13940488800 in words is "thirteen billion, nine hundred forty million, four hundred eighty-eight thousand, eight hundred".