13942393920 has 1120 divisors, whose sum is σ = 63942455808. Its totient is φ = 2802843648.

The previous prime is 13942393903. The next prime is 13942393967. The reversal of 13942393920 is 2939324931.

13942393920 is a `hidden beast` number, since 1 + 394 + 239 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54250432 + ... + 54250688.

Almost surely, 2^13942393920 is an apocalyptic number.

13942393920 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 13942393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31971227904).

13942393920 is an abundant number, since it is smaller than the sum of its proper divisors (50000061888).

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

13942393920 is a wasteful number, since it uses less digits than its factorization.

13942393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13942393920 in words is "thirteen billion, nine hundred forty-two million, three hundred ninety-three thousand, nine hundred twenty".