1041768000 has 896 divisors, whose sum is σ = 4792919040. Its totient is φ = 215654400.

The previous prime is 1041767983. The next prime is 1041768011. The reversal of 1041768000 is 8671401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655974 + ... + 19656026.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^1041768000 is an apocalyptic number.

1041768000 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 1041768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396459520).

1041768000 is an abundant number, since it is smaller than the sum of its proper divisors (3751151040).

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

1041768000 is a wasteful number, since it uses less digits than its factorization.

1041768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1041768000 is about 32276.4310294679. The cubic root of 1041768000 is about 1013.7332024525.

The spelling of 1041768000 in words is "one billion, forty-one million, seven hundred sixty-eight thousand".