1056056040 has 192 divisors, whose sum is σ = 3857293440. Its totient is φ = 248624640.

The previous prime is 1056056021. The next prime is 1056056041. The reversal of 1056056040 is 406506501.

It is a happy number.

1056056040 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 560 + 40 = 666.

It is a super-3 number, since 3×1056056040³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1056055995 and 1056056013.

It is not an unprimeable number, because it can be changed into a prime (1056056041) 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, 102735 + ... + 112545.

It is an arithmetic number, because the mean of its divisors is an integer number (20090070).

Almost surely, 2^1056056040 is an apocalyptic number.

1056056040 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 1056056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928646720).

1056056040 is an abundant number, since it is smaller than the sum of its proper divisors (2801237400).

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

1056056040 is a wasteful number, since it uses less digits than its factorization.

1056056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1056056040 is about 32497.0158629989. The cubic root of 1056056040 is about 1018.3466872303.

The spelling of 1056056040 in words is "one billion, fifty-six million, fifty-six thousand, forty".