10144033201434 has 256 divisors, whose sum is σ = 23870702592000. Its totient is φ = 2841310644480.

The previous prime is 10144033201397. The next prime is 10144033201457. The reversal of 10144033201434 is 43410233044101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9954889777 + ... + 9954890795.

It is an arithmetic number, because the mean of its divisors is an integer number (93244932000).

Almost surely, 2^{10144033201434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144033201434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935351296000).

10144033201434 is an abundant number, since it is smaller than the sum of its proper divisors (13726669390566).

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

10144033201434 is a wasteful number, since it uses less digits than its factorization.

10144033201434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10144033201434 its reverse (43410233044101), we get a palindrome (53554266245535).

The spelling of 10144033201434 in words is "ten trillion, one hundred forty-four billion, thirty-three million, two hundred one thousand, four hundred thirty-four".