14113016400 has 120 divisors (see below), whose sum is σ = 51667111744. Its totient is φ = 3225830400.

The previous prime is 14113016381. The next prime is 14113016413. The reversal of 14113016400 is 461031141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831661 + ... + 848460.

Almost surely, 2^14113016400 is an apocalyptic number.

14113016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14113016400 is an abundant number, since it is smaller than the sum of its proper divisors (37554095344).

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

14113016400 is a wasteful number, since it uses less digits than its factorization.

14113016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680149 (or 1680138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 14113016400 its reverse (461031141), we get a palindrome (14574047541).

The spelling of 14113016400 in words is "fourteen billion, one hundred thirteen million, sixteen thousand, four hundred".