13741086240 has 576 divisors, whose sum is σ = 57524463360. Its totient is φ = 3030773760.

The previous prime is 13741086217. The next prime is 13741086277. The reversal of 13741086240 is 4268014731.

13741086240 is a `hidden beast` number, since 13 + 7 + 4 + 10 + 8 + 624 + 0 = 666.

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 = 13741086195 and 13741086204.

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, 7891770 + ... + 7893510.

It is an arithmetic number, because the mean of its divisors is an integer number (99868860).

Almost surely, 2^13741086240 is an apocalyptic number.

13741086240 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 13741086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28762231680).

13741086240 is an abundant number, since it is smaller than the sum of its proper divisors (43783377120).

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

13741086240 is a wasteful number, since it uses less digits than its factorization.

13741086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13741086240 in words is "thirteen billion, seven hundred forty-one million, eighty-six thousand, two hundred forty".