13741627140 has 36 divisors (see below), whose sum is σ = 41682936204. Its totient is φ = 3664433856.

The previous prime is 13741627139. The next prime is 13741627189. The reversal of 13741627140 is 4172614731.

13741627140 is a `hidden beast` number, since 1 + 374 + 16 + 271 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8765453376 + 4976173764 = 93624^2 + 70542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13741627095 and 13741627104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38171007 + ... + 38171366.

It is an arithmetic number, because the mean of its divisors is an integer number (1157859339).

Almost surely, 2^13741627140 is an apocalyptic number.

13741627140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13741627140 is an abundant number, since it is smaller than the sum of its proper divisors (27941309064).

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

13741627140 is a wasteful number, since it uses less digits than its factorization.

13741627140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76342388 (or 76342383 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13741627140 in words is "thirteen billion, seven hundred forty-one million, six hundred twenty-seven thousand, one hundred forty".