1441327680 has 336 divisors, whose sum is σ = 5397026544. Its totient is φ = 350945280.

The previous prime is 1441327661. The next prime is 1441327687. The reversal of 1441327680 is 867231441.

It can be written as a sum of positive squares in 8 ways, for example, as 25160256 + 1416167424 = 5016^2 + 37632^2 .

It is a super-2 number, since 2×1441327680² = 4154850962268364800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1441327687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5129140 + ... + 5129420.

It is an arithmetic number, because the mean of its divisors is an integer number (16062579).

Almost surely, 2^1441327680 is an apocalyptic number.

1441327680 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 1441327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698513272).

1441327680 is an abundant number, since it is smaller than the sum of its proper divisors (3955698864).

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

1441327680 is a wasteful number, since it uses less digits than its factorization.

1441327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1441327680 is about 37964.8216115920. The cubic root of 1441327680 is about 1129.5901821380.

The spelling of 1441327680 in words is "one billion, four hundred forty-one million, three hundred twenty-seven thousand, six hundred eighty".