10022024144 has 80 divisors (see below), whose sum is σ = 22809522240. Its totient is φ = 4214753280.

The previous prime is 10022024137. The next prime is 10022024149. The reversal of 10022024144 is 44142022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022024149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148142 + ... + 204914.

It is an arithmetic number, because the mean of its divisors is an integer number (285119028).

Almost surely, 2^10022024144 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 10022024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404761120).

10022024144 is an abundant number, since it is smaller than the sum of its proper divisors (12787498096).

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

10022024144 is a wasteful number, since it uses less digits than its factorization.

10022024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56868 (or 56862 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10022024144 its reverse (44142022001), we get a palindrome (54164046145).

The spelling of 10022024144 in words is "ten billion, twenty-two million, twenty-four thousand, one hundred forty-four".