14099379840 has 768 divisors, whose sum is σ = 61626539520. Its totient is φ = 2890432512.

The previous prime is 14099379839. The next prime is 14099379841. The reversal of 14099379840 is 4897399041.

14099379840 is a `hidden beast` number, since 1 + 409 + 93 + 79 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14099379839) and next prime (14099379841).

It is not an unprimeable number, because it can be changed into a prime (14099379841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19393557 + ... + 19394283.

It is an arithmetic number, because the mean of its divisors is an integer number (80242890).

Almost surely, 2^14099379840 is an apocalyptic number.

14099379840 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 14099379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30813269760).

14099379840 is an abundant number, since it is smaller than the sum of its proper divisors (47527159680).

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

14099379840 is a wasteful number, since it uses less digits than its factorization.

14099379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 14099379840 in words is "fourteen billion, ninety-nine million, three hundred seventy-nine thousand, eight hundred forty".