10013988240 has 120 divisors (see below), whose sum is σ = 33662041920. Its totient is φ = 2667877632.

The previous prime is 10013988217. The next prime is 10013988241. The reversal of 10013988240 is 4288931001.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 10013988195 and 10013988204.

It is not an unprimeable number, because it can be changed into a prime (10013988241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831381 + ... + 843339.

It is an arithmetic number, because the mean of its divisors is an integer number (280517016).

Almost surely, 2^10013988240 is an apocalyptic number.

10013988240 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 10013988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831020960).

10013988240 is an abundant number, since it is smaller than the sum of its proper divisors (23648053680).

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

10013988240 is a wasteful number, since it uses less digits than its factorization.

10013988240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10013988240 in words is "ten billion, thirteen million, nine hundred eighty-eight thousand, two hundred forty".