1441195232400 has 2160 divisors, whose sum is σ = 6672206701440. Its totient is φ = 294319872000.

The previous prime is 1441195232387. The next prime is 1441195232429. The reversal of 1441195232400 is 42325911441.

1441195232400 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 19 + 5 + 232 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4546357042 + ... + 4546357358.

It is an arithmetic number, because the mean of its divisors is an integer number (3088984584).

Almost surely, 2^{1441195232400} is an apocalyptic number.

1441195232400 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 1441195232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336103350720).

1441195232400 is an abundant number, since it is smaller than the sum of its proper divisors (5231011469040).

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

1441195232400 is a wasteful number, since it uses less digits than its factorization.

1441195232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1441195232400 in words is "one trillion, four hundred forty-one billion, one hundred ninety-five million, two hundred thirty-two thousand, four hundred".