13916394400 has 72 divisors (see below), whose sum is σ = 33990261984. Its totient is φ = 5563795200.

The previous prime is 13916394353. The next prime is 13916394403. The reversal of 13916394400 is 449361931.

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

It is not an unprimeable number, because it can be changed into a prime (13916394403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2559685 + ... + 2565115.

It is an arithmetic number, because the mean of its divisors is an integer number (472086972).

Almost surely, 2^13916394400 is an apocalyptic number.

13916394400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13916394400 is an abundant number, since it is smaller than the sum of its proper divisors (20073867584).

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

13916394400 is a wasteful number, since it uses less digits than its factorization.

13916394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 13916394400 in words is "thirteen billion, nine hundred sixteen million, three hundred ninety-four thousand, four hundred".