10144217825280 has 1152 divisors, whose sum is σ = 43969725072000. Its totient is φ = 2101849620480.

The previous prime is 10144217825279. The next prime is 10144217825297. The reversal of 10144217825280 is 8252871244101.

10144217825280 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 42 + 1 + 7 + 82 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29066526546 + ... + 29066526894.

It is an arithmetic number, because the mean of its divisors is an integer number (38168164125).

Almost surely, 2^{10144217825280} is an apocalyptic number.

10144217825280 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 10144217825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984862536000).

10144217825280 is an abundant number, since it is smaller than the sum of its proper divisors (33825507246720).

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

10144217825280 is an frugal number, since it uses more digits than its factorization.

10144217825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 10144217825280 in words is "ten trillion, one hundred forty-four billion, two hundred seventeen million, eight hundred twenty-five thousand, two hundred eighty".