1441232805600 has 1296 divisors, whose sum is σ = 6220111637376. Its totient is φ = 324632448000.

The previous prime is 1441232805569. The next prime is 1441232805659. The reversal of 1441232805600 is 65082321441.

It is a happy number.

1441232805600 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 23 + 28 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 215 ways as a sum of consecutive naturals, for example, 676316535 + ... + 676318665.

It is an arithmetic number, because the mean of its divisors is an integer number (4799468856).

Almost surely, 2^{1441232805600} is an apocalyptic number.

1441232805600 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 1441232805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110055818688).

1441232805600 is an abundant number, since it is smaller than the sum of its proper divisors (4778878831776).

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

1441232805600 is a wasteful number, since it uses less digits than its factorization.

1441232805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1441232805600 in words is "one trillion, four hundred forty-one billion, two hundred thirty-two million, eight hundred five thousand, six hundred".