1441393920 has 288 divisors, whose sum is σ = 5165596800. Its totient is φ = 380583936.

The previous prime is 1441393913. The next prime is 1441393951. The reversal of 1441393920 is 293931441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1441393920² = 4155232865225932800, which contains 22 as substring.

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

It is a congruent number.

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, 6186124 + ... + 6186356.

It is an arithmetic number, because the mean of its divisors is an integer number (17936100).

Almost surely, 2^1441393920 is an apocalyptic number.

1441393920 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 1441393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582798400).

1441393920 is an abundant number, since it is smaller than the sum of its proper divisors (3724202880).

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

1441393920 is a wasteful number, since it uses less digits than its factorization.

1441393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1441393920 is about 37965.6939881256. The cubic root of 1441393920 is about 1129.6074863010.

The spelling of 1441393920 in words is "one billion, four hundred forty-one million, three hundred ninety-three thousand, nine hundred twenty".