1441561680 has 240 divisors, whose sum is σ = 5243945616. Its totient is φ = 352788480.

The previous prime is 1441561663. The next prime is 1441561697. The reversal of 1441561680 is 861651441.

1441561680 is a `hidden beast` number, since 1 + 441 + 56 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1441561663) and next prime (1441561697).

It can be written as a sum of positive squares in 8 ways, for example, as 101123136 + 1340438544 = 10056^2 + 36612^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2180550 + ... + 2181210.

Almost surely, 2^1441561680 is an apocalyptic number.

1441561680 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 1441561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621972808).

1441561680 is an abundant number, since it is smaller than the sum of its proper divisors (3802383936).

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

1441561680 is a wasteful number, since it uses less digits than its factorization.

1441561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1441561680 is about 37967.9032868553. The cubic root of 1441561680 is about 1129.6513086034.

The spelling of 1441561680 in words is "one billion, four hundred forty-one million, five hundred sixty-one thousand, six hundred eighty".