1441315680 has 384 divisors, whose sum is σ = 5539000320. Its totient is φ = 307722240.

The previous prime is 1441315679. The next prime is 1441315693. The reversal of 1441315680 is 865131441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6830775 + ... + 6830985.

It is an arithmetic number, because the mean of its divisors is an integer number (14424480).

Almost surely, 2^1441315680 is an apocalyptic number.

1441315680 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 1441315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769500160).

1441315680 is an abundant number, since it is smaller than the sum of its proper divisors (4097684640).

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

1441315680 is a wasteful number, since it uses less digits than its factorization.

1441315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1441315680 is about 37964.6635702201. The cubic root of 1441315680 is about 1129.5870472691.

The spelling of 1441315680 in words is "one billion, four hundred forty-one million, three hundred fifteen thousand, six hundred eighty".