1041868800 has 864 divisors, whose sum is σ = 4752820800. Its totient is φ = 212336640.

The previous prime is 1041868771. The next prime is 1041868811. The reversal of 1041868800 is 88681401.

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

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 71 ways as a sum of consecutive naturals, for example, 54835191 + ... + 54835209.

It is an arithmetic number, because the mean of its divisors is an integer number (5500950).

Almost surely, 2^1041868800 is an apocalyptic number.

1041868800 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 1041868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

1041868800 is an abundant number, since it is smaller than the sum of its proper divisors (3710952000).

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

1041868800 is a wasteful number, since it uses less digits than its factorization.

1041868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1041868800 is about 32277.9925026325. The cubic root of 1041868800 is about 1013.7658971956.

The spelling of 1041868800 in words is "one billion, forty-one million, eight hundred sixty-eight thousand, eight hundred".