1153086440 has 96 divisors (see below), whose sum is σ = 3002076000. Its totient is φ = 397203840.

The previous prime is 1153086427. The next prime is 1153086469. The reversal of 1153086440 is 446803511.

It is a super-2 number, since 2×1153086440² = 2659216676223747200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1153086397 and 1153086406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85691 + ... + 98229.

It is an arithmetic number, because the mean of its divisors is an integer number (31271625).

Almost surely, 2^1153086440 is an apocalyptic number.

1153086440 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 1153086440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501038000).

1153086440 is an abundant number, since it is smaller than the sum of its proper divisors (1848989560).

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

1153086440 is a wasteful number, since it uses less digits than its factorization.

1153086440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1153086440 is about 33957.1264979827. The cubic root of 1153086440 is about 1048.6260002378.

Adding to 1153086440 its reverse (446803511), we get a palindrome (1599889951).

The spelling of 1153086440 in words is "one billion, one hundred fifty-three million, eighty-six thousand, four hundred forty".