1056378040 has 64 divisors (see below), whose sum is σ = 2485546560. Its totient is φ = 403307520.

The previous prime is 1056378023. The next prime is 1056378073. The reversal of 1056378040 is 408736501.

It is a super-2 number, since 2×1056378040² = 2231869126788483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056377987 and 1056378005.

It is a congruent number.

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, 566710 + ... + 568570.

It is an arithmetic number, because the mean of its divisors is an integer number (38836665).

Almost surely, 2^1056378040 is an apocalyptic number.

1056378040 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 1056378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242773280).

1056378040 is an abundant number, since it is smaller than the sum of its proper divisors (1429168520).

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

1056378040 is a wasteful number, since it uses less digits than its factorization.

1056378040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1056378040 is about 32501.9697864606. The cubic root of 1056378040 is about 1018.4501774175.

The spelling of 1056378040 in words is "one billion, fifty-six million, three hundred seventy-eight thousand, forty".