10214242041344 has 160 divisors (see below), whose sum is σ = 23352105655296. Its totient is φ = 4421237022720.

The previous prime is 10214242041331. The next prime is 10214242041389. The reversal of 10214242041344 is 44314024241201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10214242041344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9272597 + ... + 10315499.

Almost surely, 2^{10214242041344} 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 10214242041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676052827648).

10214242041344 is an abundant number, since it is smaller than the sum of its proper divisors (13137863613952).

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

10214242041344 is a wasteful number, since it uses less digits than its factorization.

10214242041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043016 (or 1043000 counting only the distinct ones).

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

Adding to 10214242041344 its reverse (44314024241201), we get a palindrome (54528266282545).

The spelling of 10214242041344 in words is "ten trillion, two hundred fourteen billion, two hundred forty-two million, forty-one thousand, three hundred forty-four".