1056286440 has 384 divisors, whose sum is σ = 3964464000. Its totient is φ = 249891840.

The previous prime is 1056286417. The next prime is 1056286453. The reversal of 1056286440 is 446826501.

1056286440 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 2 + 8 + 644 + 0 = 666.

It is a super-2 number, since 2×1056286440² = 2231482086655747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1056286395 and 1056286404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7710052 + ... + 7710188.

It is an arithmetic number, because the mean of its divisors is an integer number (10324125).

Almost surely, 2^1056286440 is an apocalyptic number.

1056286440 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 1056286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982232000).

1056286440 is an abundant number, since it is smaller than the sum of its proper divisors (2908177560).

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

1056286440 is a wasteful number, since it uses less digits than its factorization.

1056286440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1056286440 is about 32500.5606105495. The cubic root of 1056286440 is about 1018.4207394924.

It can be divided in two parts, 1056 and 286440, that added together give a cube (287496 = 66³).

The spelling of 1056286440 in words is "one billion, fifty-six million, two hundred eighty-six thousand, four hundred forty".