14125920480 has 768 divisors, whose sum is σ = 58718822400. Its totient is φ = 3144241152.

The previous prime is 14125920469. The next prime is 14125920491. The reversal of 14125920480 is 8402952141.

14125920480 is a `hidden beast` number, since 14 + 12 + 592 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14125920469) and next prime (14125920491).

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 127 ways as a sum of consecutive naturals, for example, 178809081 + ... + 178809159.

It is an arithmetic number, because the mean of its divisors is an integer number (76456800).

Almost surely, 2^14125920480 is an apocalyptic number.

14125920480 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 14125920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29359411200).

14125920480 is an abundant number, since it is smaller than the sum of its proper divisors (44592901920).

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

14125920480 is an frugal number, since it uses more digits than its factorization.

14125920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14125920480 in words is "fourteen billion, one hundred twenty-five million, nine hundred twenty thousand, four hundred eighty".