1117040256 has 96 divisors (see below), whose sum is σ = 3243223620. Its totient is φ = 369008640.

The previous prime is 1117040251. The next prime is 1117040261. The reversal of 1117040256 is 6520407111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1117040251) and next prime (1117040261).

It can be written as a sum of positive squares in 2 ways, for example, as 641102400 + 475937856 = 25320^2 + 21816^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1117040251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125886 + ... + 134466.

Almost surely, 2^1117040256 is an apocalyptic number.

1117040256 is a gapful number since it is divisible by the number (16) 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 1117040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621611810).

1117040256 is an abundant number, since it is smaller than the sum of its proper divisors (2126183364).

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

1117040256 is a wasteful number, since it uses less digits than its factorization.

1117040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1117040256 is about 33422.1521748675. The cubic root of 1117040256 is about 1037.5832244846.

Adding to 1117040256 its reverse (6520407111), we get a palindrome (7637447367).

The spelling of 1117040256 in words is "one billion, one hundred seventeen million, forty thousand, two hundred fifty-six".