1040345856 has 180 divisors, whose sum is σ = 3384876264. Its totient is φ = 315187200.

The previous prime is 1040345843. The next prime is 1040345861. The reversal of 1040345856 is 6585430401.

It is a happy number.

1040345856 is a `hidden beast` number, since 1 + 0 + 40 + 34 + 585 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1040345856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225816 + ... + 230376.

Almost surely, 2^1040345856 is an apocalyptic number.

1040345856 is a gapful number since it is divisible by the number (16) 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 1040345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692438132).

1040345856 is an abundant number, since it is smaller than the sum of its proper divisors (2344530408).

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

1040345856 is an equidigital number, since it uses as much as digits as its factorization.

1040345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1040345856 is about 32254.3928171032. The cubic root of 1040345856 is about 1013.2717013916.

The spelling of 1040345856 in words is "one billion, forty million, three hundred forty-five thousand, eight hundred fifty-six".