4144159091610 has 192 divisors, whose sum is σ = 11428268507136. Its totient is φ = 1039738761600.

The previous prime is 4144159091573. The next prime is 4144159091641. The reversal of 4144159091610 is 161909514414.

4144159091610 is a `hidden beast` number, since 4 + 1 + 4 + 41 + 590 + 9 + 1 + 6 + 10 = 666.

4144159091610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63311359 + ... + 63376781.

It is an arithmetic number, because the mean of its divisors is an integer number (59522231808).

Almost surely, 2^{4144159091610} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144159091610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714134253568).

4144159091610 is an abundant number, since it is smaller than the sum of its proper divisors (7284109415526).

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

4144159091610 is a wasteful number, since it uses less digits than its factorization.

4144159091610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65961 (or 65958 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 4144159091610 in words is "four trillion, one hundred forty-four billion, one hundred fifty-nine million, ninety-one thousand, six hundred ten".