1441936080 has 200 divisors, whose sum is σ = 5393607912. Its totient is φ = 354917376.

The previous prime is 1441936051. The next prime is 1441936109. The reversal of 1441936080 is 806391441.

1441936080 is a `hidden beast` number, since 1 + 4 + 41 + 9 + 3 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1441936051) and next prime (1441936109).

It can be written as a sum of positive squares in 4 ways, for example, as 88284816 + 1353651264 = 9396^2 + 36792^2 .

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 39 ways as a sum of consecutive naturals, for example, 75682 + ... + 92798.

Almost surely, 2^1441936080 is an apocalyptic number.

1441936080 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 1441936080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696803956).

1441936080 is an abundant number, since it is smaller than the sum of its proper divisors (3951671832).

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

1441936080 is a wasteful number, since it uses less digits than its factorization.

1441936080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17155 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1441936080 is about 37972.8334470842. The cubic root of 1441936080 is about 1129.7490971905.

The spelling of 1441936080 in words is "one billion, four hundred forty-one million, nine hundred thirty-six thousand, eighty".