1144083440640 has 1408 divisors, whose sum is σ = 4659843465216. Its totient is φ = 233570304000.

The previous prime is 1144083440629. The next prime is 1144083440707. The reversal of 1144083440640 is 460443804411.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3456445275 + ... + 3456445605.

Almost surely, 2^{1144083440640} is an apocalyptic number.

1144083440640 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 1144083440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329921732608).

1144083440640 is an abundant number, since it is smaller than the sum of its proper divisors (3515760024576).

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

1144083440640 is a wasteful number, since it uses less digits than its factorization.

1144083440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 1144083440640 in words is "one trillion, one hundred forty-four billion, eighty-three million, four hundred forty thousand, six hundred forty".