14742015120 has 640 divisors, whose sum is σ = 62276014080. Its totient is φ = 3128647680.

The previous prime is 14742015109. The next prime is 14742015221. The reversal of 14742015120 is 2151024741.

14742015120 is a `hidden beast` number, since 1 + 474 + 20 + 151 + 20 = 666.

It is a super-2 number, since 2×14742015120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 21333975 + ... + 21334665.

It is an arithmetic number, because the mean of its divisors is an integer number (97306272).

Almost surely, 2^14742015120 is an apocalyptic number.

14742015120 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 14742015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138007040).

14742015120 is an abundant number, since it is smaller than the sum of its proper divisors (47533998960).

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

14742015120 is a wasteful number, since it uses less digits than its factorization.

14742015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 14742015120 its reverse (2151024741), we get a palindrome (16893039861).

The spelling of 14742015120 in words is "fourteen billion, seven hundred forty-two million, fifteen thousand, one hundred twenty".