13778064400 has 45 divisors (see below), whose sum is σ = 33107440791. Its totient is φ = 5510286720.

The previous prime is 13778064389. The next prime is 13778064407. The reversal of 13778064400 is 446087731.

The square root of 13778064400 is 117380.

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 4549772304 + 9228292096 = 67452^2 + 96064^2 .

It is a super-2 number, since 2×13778064400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13778064407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2344666 + ... + 2350534.

Almost surely, 2^13778064400 is an apocalyptic number.

13778064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13778064400 is the 117380-th square number.

It is an amenable number.

13778064400 is an abundant number, since it is smaller than the sum of its proper divisors (19329376391).

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

13778064400 is an frugal number, since it uses more digits than its factorization.

13778064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11756 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 13778064400 in words is "thirteen billion, seven hundred seventy-eight million, sixty-four thousand, four hundred".