1120295040 has 192 divisors, whose sum is σ = 3736333440. Its totient is φ = 285497344.

The previous prime is 1120295023. The next prime is 1120295047. The reversal of 1120295040 is 405920211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1120295040.

It is not an unprimeable number, because it can be changed into a prime (1120295047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015129 + ... + 1016231.

It is an arithmetic number, because the mean of its divisors is an integer number (19460070).

Almost surely, 2^1120295040 is an apocalyptic number.

1120295040 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 1120295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868166720).

1120295040 is an abundant number, since it is smaller than the sum of its proper divisors (2616038400).

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

1120295040 is a wasteful number, since it uses less digits than its factorization.

1120295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1120295040 is about 33470.8087742140. The cubic root of 1120295040 is about 1038.5900024509.

The spelling of 1120295040 in words is "one billion, one hundred twenty million, two hundred ninety-five thousand, forty".