14941305970920 has 384 divisors, whose sum is σ = 56034724112640. Its totient is φ = 3382043258880.

The previous prime is 14941305970873. The next prime is 14941305970939. The reversal of 14941305970920 is 2907950314941.

14941305970920 is a `hidden beast` number, since 1 + 4 + 9 + 41 + 3 + 0 + 597 + 0 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925666050 + ... + 925682190.

It is an arithmetic number, because the mean of its divisors is an integer number (145923760710).

Almost surely, 2^{14941305970920} is an apocalyptic number.

14941305970920 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 14941305970920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017362056320).

14941305970920 is an abundant number, since it is smaller than the sum of its proper divisors (41093418141720).

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

14941305970920 is a wasteful number, since it uses less digits than its factorization.

14941305970920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19705 (or 19698 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 14941305970920 in words is "fourteen trillion, nine hundred forty-one billion, three hundred five million, nine hundred seventy thousand, nine hundred twenty".