13779040400 has 60 divisors (see below), whose sum is σ = 33874050672. Its totient is φ = 5383432320.

The previous prime is 13779040349. The next prime is 13779040403. The reversal of 13779040400 is 404097731.

It is not an unprimeable number, because it can be changed into a prime (13779040403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383354 + ... + 417753.

Almost surely, 2^13779040400 is an apocalyptic number.

13779040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13779040400 is an abundant number, since it is smaller than the sum of its proper divisors (20095010272).

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

13779040400 is a wasteful number, since it uses less digits than its factorization.

13779040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801168 (or 801157 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 13779040400 in words is "thirteen billion, seven hundred seventy-nine million, forty thousand, four hundred".