13991292420 has 384 divisors, whose sum is σ = 47341056000. Its totient is φ = 3084770304.

The previous prime is 13991292401. The next prime is 13991292457. The reversal of 13991292420 is 2429219931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100656711 + ... + 100656849.

It is an arithmetic number, because the mean of its divisors is an integer number (123284000).

Almost surely, 2^13991292420 is an apocalyptic number.

13991292420 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 13991292420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670528000).

13991292420 is an abundant number, since it is smaller than the sum of its proper divisors (33349763580).

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

13991292420 is a wasteful number, since it uses less digits than its factorization.

13991292420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 13991292420 in words is "thirteen billion, nine hundred ninety-one million, two hundred ninety-two thousand, four hundred twenty".