1144738638720 has 512 divisors, whose sum is σ = 4144153104000. Its totient is φ = 298534699008.

The previous prime is 1144738638689. The next prime is 1144738638733. The reversal of 1144738638720 is 278368374411.

1144738638720 is a `hidden beast` number, since 1 + 14 + 473 + 8 + 63 + 87 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308636226 + ... + 308639934.

Almost surely, 2^{1144738638720} is an apocalyptic number.

1144738638720 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 1144738638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072076552000).

1144738638720 is an abundant number, since it is smaller than the sum of its proper divisors (2999414465280).

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

1144738638720 is a wasteful number, since it uses less digits than its factorization.

1144738638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1144738638720 in words is "one trillion, one hundred forty-four billion, seven hundred thirty-eight million, six hundred thirty-eight thousand, seven hundred twenty".