1013718279840 has 768 divisors, whose sum is σ = 3837818880000. Its totient is φ = 224726261760.

The previous prime is 1013718279817. The next prime is 1013718279869. The reversal of 1013718279840 is 489728173101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 767386380 + ... + 767387700.

It is an arithmetic number, because the mean of its divisors is an integer number (4997160000).

Almost surely, 2^{1013718279840} is an apocalyptic number.

1013718279840 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 1013718279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918909440000).

1013718279840 is an abundant number, since it is smaller than the sum of its proper divisors (2824100600160).

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

1013718279840 is a wasteful number, since it uses less digits than its factorization.

1013718279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 1013718279840 in words is "one trillion, thirteen billion, seven hundred eighteen million, two hundred seventy-nine thousand, eight hundred forty".