4144093688280 has 256 divisors, whose sum is σ = 16106599756800. Its totient is φ = 828339333120.

The previous prime is 4144093688249. The next prime is 4144093688291. The reversal of 4144093688280 is 828863904414.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4144093688280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9779251 + ... + 10194210.

It is an arithmetic number, because the mean of its divisors is an integer number (62916405300).

Almost surely, 2^{4144093688280} is an apocalyptic number.

4144093688280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144093688280 is an abundant number, since it is smaller than the sum of its proper divisors (11962506068520).

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

4144093688280 is a wasteful number, since it uses less digits than its factorization.

4144093688280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19973514 (or 19973510 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 4144093688280 in words is "four trillion, one hundred forty-four billion, ninety-three million, six hundred eighty-eight thousand, two hundred eighty".