1144590289920 has 1760 divisors, whose sum is σ = 5194246058496. Its totient is φ = 234101145600.

The previous prime is 1144590289919. The next prime is 1144590289943. The reversal of 1144590289920 is 299820954411.

1144590289920 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 590 + 28 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2331140875 + ... + 2331141365.

Almost surely, 2^{1144590289920} is an apocalyptic number.

1144590289920 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 1144590289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597123029248).

1144590289920 is an abundant number, since it is smaller than the sum of its proper divisors (4049655768576).

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

1144590289920 is a wasteful number, since it uses less digits than its factorization.

1144590289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1144590289920 in words is "one trillion, one hundred forty-four billion, five hundred ninety million, two hundred eighty-nine thousand, nine hundred twenty".