13919280400 has 135 divisors (see below), whose sum is σ = 35626575439. Its totient is φ = 5225098240.

The previous prime is 13919280377. The next prime is 13919280439. The reversal of 13919280400 is 408291931.

The square root of 13919280400 is 117980.

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 325585936 + 13593694464 = 18044^2 + 116592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13919280400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40113027 + ... + 40113373.

Almost surely, 2^13919280400 is an apocalyptic number.

13919280400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13919280400 is the 117980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13919280400

13919280400 is an abundant number, since it is smaller than the sum of its proper divisors (21707295039).

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

13919280400 is an equidigital number, since it uses as much as digits as its factorization.

13919280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 13919280400 in words is "thirteen billion, nine hundred nineteen million, two hundred eighty thousand, four hundred".