1130945040 has 240 divisors, whose sum is σ = 3922963200. Its totient is φ = 291852288.

The previous prime is 1130945027. The next prime is 1130945041. The reversal of 1130945040 is 405490311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130944995 and 1130945013.

It is not an unprimeable number, because it can be changed into a prime (1130945041) 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, 3355752 + ... + 3356088.

It is an arithmetic number, because the mean of its divisors is an integer number (16345680).

Almost surely, 2^1130945040 is an apocalyptic number.

1130945040 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 1130945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961481600).

1130945040 is an abundant number, since it is smaller than the sum of its proper divisors (2792018160).

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

1130945040 is a wasteful number, since it uses less digits than its factorization.

1130945040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1130945040 is about 33629.5263124535. The cubic root of 1130945040 is about 1041.8707207573.

The spelling of 1130945040 in words is "one billion, one hundred thirty million, nine hundred forty-five thousand, forty".