1441904640000 has 1200 divisors, whose sum is σ = 5571883126656. Its totient is φ = 327680000000.

The previous prime is 1441904639999. The next prime is 1441904640013. The reversal of 1441904640000 is 464091441.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5744639875 + ... + 5744640125.

Almost surely, 2^{1441904640000} is an apocalyptic number.

1441904640000 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 1441904640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785941563328).

1441904640000 is an abundant number, since it is smaller than the sum of its proper divisors (4129978486656).

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

1441904640000 is an equidigital number, since it uses as much as digits as its factorization.

1441904640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1441904640000 in words is "one trillion, four hundred forty-one billion, nine hundred four million, six hundred forty thousand".