13940675200 has 192 divisors, whose sum is σ = 35970912000. Its totient is φ = 5332377600.

The previous prime is 13940675179. The next prime is 13940675201. The reversal of 13940675200 is 257604931.

It is a self number, because there is not a number n which added to its sum of digits gives 13940675200.

It is not an unprimeable number, because it can be changed into a prime (13940675201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8828011 + ... + 8829589.

It is an arithmetic number, because the mean of its divisors is an integer number (187348500).

Almost surely, 2^13940675200 is an apocalyptic number.

13940675200 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 13940675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985456000).

13940675200 is an abundant number, since it is smaller than the sum of its proper divisors (22030236800).

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

13940675200 is a wasteful number, since it uses less digits than its factorization.

13940675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 13940675200 in words is "thirteen billion, nine hundred forty million, six hundred seventy-five thousand, two hundred".