1441545305200 has 480 divisors, whose sum is σ = 4810427112960. Its totient is φ = 400445337600.

The previous prime is 1441545305191. The next prime is 1441545305281. The reversal of 1441545305200 is 25035451441.

It is a super-2 number, since 2×1441545305200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11549527 + ... + 11673673.

It is an arithmetic number, because the mean of its divisors is an integer number (10021723152).

Almost surely, 2^{1441545305200} is an apocalyptic number.

1441545305200 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 1441545305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405213556480).

1441545305200 is an abundant number, since it is smaller than the sum of its proper divisors (3368881807760).

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

1441545305200 is a wasteful number, since it uses less digits than its factorization.

1441545305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124225 (or 124214 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 1441545305200 in words is "one trillion, four hundred forty-one billion, five hundred forty-five million, three hundred five thousand, two hundred".