213402442001144 has 128 divisors (see below), whose sum is σ = 470448987240960. Its totient is φ = 90520649824000.

The previous prime is 213402442001143. The next prime is 213402442001159. The reversal of 213402442001144 is 441100244204312.

It is a self number, because there is not a number n which added to its sum of digits gives 213402442001144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213402442001141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585422 + ... + 20667549.

It is an arithmetic number, because the mean of its divisors is an integer number (3675382712820).

Almost surely, 2^{213402442001144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213402442001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224493620480).

213402442001144 is an abundant number, since it is smaller than the sum of its proper divisors (257046545239816).

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

213402442001144 is a wasteful number, since it uses less digits than its factorization.

213402442001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21253074 (or 21253048 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 213402442001144 its reverse (441100244204312), we get a palindrome (654502686205456).

The spelling of 213402442001144 in words is "two hundred thirteen trillion, four hundred two billion, four hundred forty-two million, one thousand, one hundred forty-four".