1033441920 has 576 divisors, whose sum is σ = 4364979840. Its totient is φ = 220631040.

The previous prime is 1033441879. The next prime is 1033441921. The reversal of 1033441920 is 291443301.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1033441921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14555485 + ... + 14555555.

It is an arithmetic number, because the mean of its divisors is an integer number (7578090).

Almost surely, 2^1033441920 is an apocalyptic number.

1033441920 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 1033441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182489920).

1033441920 is an abundant number, since it is smaller than the sum of its proper divisors (3331537920).

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

1033441920 is a wasteful number, since it uses less digits than its factorization.

1033441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1033441920 is about 32147.1914791946. The cubic root of 1033441920 is about 1011.0253026332.

The spelling of 1033441920 in words is "one billion, thirty-three million, four hundred forty-one thousand, nine hundred twenty".