1144132304640 has 576 divisors, whose sum is σ = 4110402240000. Its totient is φ = 269350797312.

The previous prime is 1144132304611. The next prime is 1144132304663. The reversal of 1144132304640 is 464032314411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108970111 + ... + 108980609.

It is an arithmetic number, because the mean of its divisors is an integer number (7136115000).

Almost surely, 2^{1144132304640} is an apocalyptic number.

1144132304640 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 1144132304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055201120000).

1144132304640 is an abundant number, since it is smaller than the sum of its proper divisors (2966269935360).

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

1144132304640 is a wasteful number, since it uses less digits than its factorization.

1144132304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 1144132304640 in words is "one trillion, one hundred forty-four billion, one hundred thirty-two million, three hundred four thousand, six hundred forty".