1113315786240 has 640 divisors, whose sum is σ = 4167161856000. Its totient is φ = 248277270528.

The previous prime is 1113315786239. The next prime is 1113315786241. The reversal of 1113315786240 is 426875133111.

It is an interprime number because it is at equal distance from previous prime (1113315786239) and next prime (1113315786241).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1113315786192 and 1113315786201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113315786241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1260832839 + ... + 1260833721.

It is an arithmetic number, because the mean of its divisors is an integer number (6511190400).

Almost surely, 2^{1113315786240} is an apocalyptic number.

1113315786240 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 1113315786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083580928000).

1113315786240 is an abundant number, since it is smaller than the sum of its proper divisors (3053846069760).

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

1113315786240 is an equidigital number, since it uses as much as digits as its factorization.

1113315786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1113315786240 in words is "one trillion, one hundred thirteen billion, three hundred fifteen million, seven hundred eighty-six thousand, two hundred forty".