13901358240 has 1152 divisors, whose sum is σ = 64215244800. Its totient is φ = 2728028160.

The previous prime is 13901358223. The next prime is 13901358271. The reversal of 13901358240 is 4285310931.

13901358240 is a `hidden beast` number, since 1 + 39 + 0 + 1 + 3 + 582 + 40 = 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 = 13901358195 and 13901358204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175966521 + ... + 175966599.

It is an arithmetic number, because the mean of its divisors is an integer number (55742400).

Almost surely, 2^13901358240 is an apocalyptic number.

13901358240 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 13901358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32107622400).

13901358240 is an abundant number, since it is smaller than the sum of its proper divisors (50313886560).

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

13901358240 is a wasteful number, since it uses less digits than its factorization.

13901358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13901358240 in words is "thirteen billion, nine hundred one million, three hundred fifty-eight thousand, two hundred forty".