14021274960 has 1920 divisors, whose sum is σ = 70195507200. Its totient is φ = 2508226560.

The previous prime is 14021274929. The next prime is 14021275007. The reversal of 14021274960 is 6947212041.

It is a happy number.

14021274960 is a `hidden beast` number, since 1 + 40 + 2 + 127 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 483492226 + ... + 483492254.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 2^14021274960 is an apocalyptic number.

14021274960 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 14021274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

14021274960 is an abundant number, since it is smaller than the sum of its proper divisors (56174232240).

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

14021274960 is a wasteful number, since it uses less digits than its factorization.

14021274960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14021274960 in words is "fourteen billion, twenty-one million, two hundred seventy-four thousand, nine hundred sixty".