1056119040 has 144 divisors (see below), whose sum is σ = 3747878400. Its totient is φ = 281622528.

The previous prime is 1056119039. The next prime is 1056119143. The reversal of 1056119040 is 409116501.

1056119040 is a `hidden beast` number, since 1 + 0 + 5 + 611 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1056119040² = 2230774853301043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1056118995 and 1056119013.

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, 19281 + ... + 49839.

Almost surely, 2^1056119040 is an apocalyptic number.

1056119040 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 1056119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873939200).

1056119040 is an abundant number, since it is smaller than the sum of its proper divisors (2691759360).

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

1056119040 is an equidigital number, since it uses as much as digits as its factorization.

1056119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30589 (or 30569 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1056119040 is about 32497.9851683147. The cubic root of 1056119040 is about 1018.3669369656.

The spelling of 1056119040 in words is "one billion, fifty-six million, one hundred nineteen thousand, forty".