1140457968 has 300 divisors, whose sum is σ = 3690263808. Its totient is φ = 339655680.

The previous prime is 1140457943. The next prime is 1140457979. The reversal of 1140457968 is 8697540411.

1140457968 is a `hidden beast` number, since 1 + 14 + 0 + 4 + 579 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8979921 + ... + 8980047.

Almost surely, 2^1140457968 is an apocalyptic number.

1140457968 is a gapful number since it is divisible by the number (18) 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 1140457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845131904).

1140457968 is an abundant number, since it is smaller than the sum of its proper divisors (2549805840).

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

1140457968 is a wasteful number, since it uses less digits than its factorization.

1140457968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1140457968 is about 33770.6672720573. The cubic root of 1140457968 is about 1044.7837950797.

The spelling of 1140457968 in words is "one billion, one hundred forty million, four hundred fifty-seven thousand, nine hundred sixty-eight".