1140461320 has 128 divisors (see below), whose sum is σ = 2891116800. Its totient is φ = 402333696.

The previous prime is 1140461317. The next prime is 1140461341. The reversal of 1140461320 is 231640411.

It is a super-2 number, since 2×1140461320² = 2601304044832284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140461291 and 1140461300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330332 + ... + 1331188.

It is an arithmetic number, because the mean of its divisors is an integer number (22586850).

Almost surely, 2^1140461320 is an apocalyptic number.

1140461320 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 1140461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445558400).

1140461320 is an abundant number, since it is smaller than the sum of its proper divisors (1750655480).

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

1140461320 is a wasteful number, since it uses less digits than its factorization.

1140461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1140461320 is about 33770.7169008891. The cubic root of 1140461320 is about 1044.7848186779.

The spelling of 1140461320 in words is "one billion, one hundred forty million, four hundred sixty-one thousand, three hundred twenty".