1152113040 has 240 divisors, whose sum is σ = 4219854912. Its totient is φ = 279991296.

The previous prime is 1152113029. The next prime is 1152113041. The reversal of 1152113040 is 403112511.

1152113040 is a `hidden beast` number, since 11 + 521 + 130 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1152113041) 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, 776139 + ... + 777621.

Almost surely, 2^1152113040 is an apocalyptic number.

1152113040 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 1152113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109927456).

1152113040 is an abundant number, since it is smaller than the sum of its proper divisors (3067741872).

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

1152113040 is a wasteful number, since it uses less digits than its factorization.

1152113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1152113040 is about 33942.7906925756. The cubic root of 1152113040 is about 1048.3308445954.

Adding to 1152113040 its reverse (403112511), we get a palindrome (1555225551).

The spelling of 1152113040 in words is "one billion, one hundred fifty-two million, one hundred thirteen thousand, forty".