1013718240 has 192 divisors, whose sum is σ = 3593056320. Its totient is φ = 270231552.

The previous prime is 1013718221. The next prime is 1013718263. The reversal of 1013718240 is 428173101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348472 + ... + 351368.

It is an arithmetic number, because the mean of its divisors is an integer number (18713835).

Almost surely, 2^1013718240 is an apocalyptic number.

1013718240 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 1013718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796528160).

1013718240 is an abundant number, since it is smaller than the sum of its proper divisors (2579338080).

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

1013718240 is an frugal number, since it uses more digits than its factorization.

1013718240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1013718240 is about 31838.9421934838. The cubic root of 1013718240 is about 1004.5519945720.

The spelling of 1013718240 in words is "one billion, thirteen million, seven hundred eighteen thousand, two hundred forty".