10144079745120 has 1152 divisors, whose sum is σ = 38468807919360. Its totient is φ = 2425616793600.

The previous prime is 10144079745119. The next prime is 10144079745139. The reversal of 10144079745120 is 2154797044101.

10144079745120 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 40 + 7 + 97 + 4 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5141448454 + ... + 5141450426.

It is an arithmetic number, because the mean of its divisors is an integer number (33393062430).

Almost surely, 2^{10144079745120} is an apocalyptic number.

10144079745120 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 10144079745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234403959680).

10144079745120 is an abundant number, since it is smaller than the sum of its proper divisors (28324728174240).

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

10144079745120 is a wasteful number, since it uses less digits than its factorization.

10144079745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10144079745120 in words is "ten trillion, one hundred forty-four billion, seventy-nine million, seven hundred forty-five thousand, one hundred twenty".