1441159864560 has 640 divisors, whose sum is σ = 5710606997760. Its totient is φ = 330912497664.

The previous prime is 1441159864523. The next prime is 1441159864601. The reversal of 1441159864560 is 654689511441.

1441159864560 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 598 + 6 + 45 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1441159864497 and 1441159864506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53928322 + ... + 53955038.

It is an arithmetic number, because the mean of its divisors is an integer number (8922823434).

Almost surely, 2^{1441159864560} is an apocalyptic number.

1441159864560 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 1441159864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855303498880).

1441159864560 is an abundant number, since it is smaller than the sum of its proper divisors (4269447133200).

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

1441159864560 is a wasteful number, since it uses less digits than its factorization.

1441159864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26882 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1441159864560 in words is "one trillion, four hundred forty-one billion, one hundred fifty-nine million, eight hundred sixty-four thousand, five hundred sixty".