13929420000 has 240 divisors, whose sum is σ = 46762531200. Its totient is φ = 3627456000.

The previous prime is 13929419989. The next prime is 13929420047. The reversal of 13929420000 is 2492931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 13929420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2577301 + ... + 2582699.

It is an arithmetic number, because the mean of its divisors is an integer number (194843880).

Almost surely, 2^13929420000 is an apocalyptic number.

13929420000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13929420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381265600).

13929420000 is an abundant number, since it is smaller than the sum of its proper divisors (32833111200).

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

13929420000 is an equidigital number, since it uses as much as digits as its factorization.

13929420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 13929420000 in words is "thirteen billion, nine hundred twenty-nine million, four hundred twenty thousand".