1120460040 has 320 divisors, whose sum is σ = 4349030400. Its totient is φ = 253435392.

The previous prime is 1120459943. The next prime is 1120460041. The reversal of 1120460040 is 400640211.

1120460040 is a `hidden beast` number, since 1 + 1 + 20 + 4 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120459995 and 1120460022.

It is not an unprimeable number, because it can be changed into a prime (1120460041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2880166 + ... + 2880554.

It is an arithmetic number, because the mean of its divisors is an integer number (13590720).

Almost surely, 2^1120460040 is an apocalyptic number.

1120460040 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 1120460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174515200).

1120460040 is an abundant number, since it is smaller than the sum of its proper divisors (3228570360).

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

1120460040 is a wasteful number, since it uses less digits than its factorization.

1120460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1120460040 is about 33473.2735178381. The cubic root of 1120460040 is about 1038.6409887036.

The spelling of 1120460040 in words is "one billion, one hundred twenty million, four hundred sixty thousand, forty".