1117776240 has 480 divisors, whose sum is σ = 4580064000. Its totient is φ = 249758208.

The previous prime is 1117776211. The next prime is 1117776277. The reversal of 1117776240 is 426777111.

1117776240 is a `hidden beast` number, since 11 + 17 + 7 + 7 + 624 + 0 = 666.

1117776240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1117776195 and 1117776204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6244471 + ... + 6244649.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 2^1117776240 is an apocalyptic number.

1117776240 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 1117776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032000).

1117776240 is an abundant number, since it is smaller than the sum of its proper divisors (3462287760).

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

1117776240 is a wasteful number, since it uses less digits than its factorization.

1117776240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 1117776240 is about 33433.1607838685. The cubic root of 1117776240 is about 1037.8110518451.

The spelling of 1117776240 in words is "one billion, one hundred seventeen million, seven hundred seventy-six thousand, two hundred forty".