1044193920 has 384 divisors, whose sum is σ = 4227940800. Its totient is φ = 216760320.

The previous prime is 1044193889. The next prime is 1044193933. The reversal of 1044193920 is 293914401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034376 + ... + 1035384.

Almost surely, 2^1044193920 is an apocalyptic number.

1044193920 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 1044193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113970400).

1044193920 is an abundant number, since it is smaller than the sum of its proper divisors (3183746880).

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

1044193920 is a wasteful number, since it uses less digits than its factorization.

1044193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1044193920 is about 32313.9895401357. The cubic root of 1044193920 is about 1014.5194713118.

The spelling of 1044193920 in words is "one billion, forty-four million, one hundred ninety-three thousand, nine hundred twenty".