13942886400 has 585 divisors, whose sum is σ = 52938211843. Its totient is φ = 3627417600.

The previous prime is 13942886371. The next prime is 13942886417. The reversal of 13942886400 is 468824931.

It is a happy number.

The square root of 13942886400 is 118080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5868785664 + 8074100736 = 76608^2 + 89856^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 340070380 + ... + 340070420.

Almost surely, 2^13942886400 is an apocalyptic number.

13942886400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13942886400 is the 118080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13942886400

13942886400 is an abundant number, since it is smaller than the sum of its proper divisors (38995325443).

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

13942886400 is an frugal number, since it uses more digits than its factorization.

13942886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

13942886400 divided by its product of nonzero digits (331776) gives a square (42025 = 205²).

The spelling of 13942886400 in words is "thirteen billion, nine hundred forty-two million, eight hundred eighty-six thousand, four hundred".