13992287400 has 432 divisors, whose sum is σ = 58161411360. Its totient is φ = 2951769600.

The previous prime is 13992287389. The next prime is 13992287411. The reversal of 13992287400 is 478229931.

13992287400 is a `hidden beast` number, since 13 + 9 + 9 + 228 + 7 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (13992287389) and next prime (13992287411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2126115 + ... + 2132685.

Almost surely, 2^13992287400 is an apocalyptic number.

13992287400 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 13992287400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29080705680).

13992287400 is an abundant number, since it is smaller than the sum of its proper divisors (44169123960).

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

13992287400 is a wasteful number, since it uses less digits than its factorization.

13992287400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13992287400 in words is "thirteen billion, nine hundred ninety-two million, two hundred eighty-seven thousand, four hundred".