13870362240 has 896 divisors, whose sum is σ = 59078661120. Its totient is φ = 3045703680.

The previous prime is 13870362193. The next prime is 13870362257. The reversal of 13870362240 is 4226307831.

It is a happy number.

13870362240 is a `hidden beast` number, since 1 + 387 + 0 + 36 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 13870362195 and 13870362204.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101243452 + ... + 101243588.

Almost surely, 2^13870362240 is an apocalyptic number.

13870362240 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 13870362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29539330560).

13870362240 is an abundant number, since it is smaller than the sum of its proper divisors (45208298880).

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

13870362240 is an equidigital number, since it uses as much as digits as its factorization.

13870362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13870362240 in words is "thirteen billion, eight hundred seventy million, three hundred sixty-two thousand, two hundred forty".