13829968240 has 40 divisors (see below), whose sum is σ = 35077830768. Its totient is φ = 5029079040.

The previous prime is 13829968237. The next prime is 13829968291. The reversal of 13829968240 is 4286992831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7857057 + ... + 7858816.

Almost surely, 2^13829968240 is an apocalyptic number.

13829968240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13829968240 is an abundant number, since it is smaller than the sum of its proper divisors (21247862528).

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

13829968240 is a wasteful number, since it uses less digits than its factorization.

13829968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715897 (or 15715891 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 13829968240 in words is "thirteen billion, eight hundred twenty-nine million, nine hundred sixty-eight thousand, two hundred forty".