9041876256 has 288 divisors, whose sum is σ = 29309091840. Its totient is φ = 2384266752.

The previous prime is 9041876251. The next prime is 9041876257. The reversal of 9041876256 is 6526781409.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9041876251) 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, 23607841 + ... + 23608223.

It is an arithmetic number, because the mean of its divisors is an integer number (101767680).

Almost surely, 2^9041876256 is an apocalyptic number.

9041876256 is a gapful number since it is divisible by the number (96) 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 9041876256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654545920).

9041876256 is an abundant number, since it is smaller than the sum of its proper divisors (20267215584).

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

9041876256 is a wasteful number, since it uses less digits than its factorization.

9041876256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 9041876256 is about 95088.7809155213. The cubic root of 9041876256 is about 2083.3049849639.

The spelling of 9041876256 in words is "nine billion, forty-one million, eight hundred seventy-six thousand, two hundred fifty-six".