1117139040 has 288 divisors, whose sum is σ = 4028693760. Its totient is φ = 292253184.

The previous prime is 1117139027. The next prime is 1117139041. The reversal of 1117139040 is 409317111.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1117138995 and 1117139013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117139041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2293677 + ... + 2294163.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^1117139040 is an apocalyptic number.

1117139040 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 1117139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

1117139040 is an abundant number, since it is smaller than the sum of its proper divisors (2911554720).

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

1117139040 is an equidigital number, since it uses as much as digits as its factorization.

1117139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1117139040 is about 33423.6299644428. The cubic root of 1117139040 is about 1037.6138093567.

The spelling of 1117139040 in words is "one billion, one hundred seventeen million, one hundred thirty-nine thousand, forty".