1041296256 has 768 divisors, whose sum is σ = 4297708800. Its totient is φ = 243855360.

The previous prime is 1041296239. The next prime is 1041296279. The reversal of 1041296256 is 6526921401.

1041296256 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 29 + 625 + 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 1041296256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24216171 + ... + 24216213.

It is an arithmetic number, because the mean of its divisors is an integer number (5595975).

Almost surely, 2^1041296256 is an apocalyptic number.

1041296256 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 1041296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148854400).

1041296256 is an abundant number, since it is smaller than the sum of its proper divisors (3256412544).

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

1041296256 is a wasteful number, since it uses less digits than its factorization.

1041296256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1041296256 is about 32269.1223307979. The cubic root of 1041296256 is about 1013.5801630175.

The spelling of 1041296256 in words is "one billion, forty-one million, two hundred ninety-six thousand, two hundred fifty-six".