1042944000 has 416 divisors, whose sum is σ = 4007168256. Its totient is φ = 235929600.

The previous prime is 1042943987. The next prime is 1042944041. The reversal of 1042944000 is 4492401.

It is a super-3 number, since 3×1042944000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10751952 + ... + 10752048.

It is an arithmetic number, because the mean of its divisors is an integer number (9632616).

Almost surely, 2^1042944000 is an apocalyptic number.

1042944000 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 1042944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003584128).

1042944000 is an abundant number, since it is smaller than the sum of its proper divisors (2964224256).

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

1042944000 is an frugal number, since it uses more digits than its factorization.

1042944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1042944000 is about 32294.6435187014. The cubic root of 1042944000 is about 1014.1145099800.

The spelling of 1042944000 in words is "one billion, forty-two million, nine hundred forty-four thousand".