1161640040 has 64 divisors (see below), whose sum is σ = 2858526720. Its totient is φ = 421344000.

The previous prime is 1161640027. The next prime is 1161640063. The reversal of 1161640040 is 400461611.

It is a junction number, because it is equal to n+sod(n) for n = 1161639988 and 1161640015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182105 + ... + 188375.

It is an arithmetic number, because the mean of its divisors is an integer number (44664480).

Almost surely, 2^1161640040 is an apocalyptic number.

1161640040 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 1161640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429263360).

1161640040 is an abundant number, since it is smaller than the sum of its proper divisors (1696886680).

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

1161640040 is a wasteful number, since it uses less digits than its factorization.

1161640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1161640040 is about 34082.8408440376. The cubic root of 1161640040 is about 1051.2125191471.

The spelling of 1161640040 in words is "one billion, one hundred sixty-one million, six hundred forty thousand, forty".