10042722240 has 224 divisors, whose sum is σ = 32810232576. Its totient is φ = 2601123840.

The previous prime is 10042722203. The next prime is 10042722241. The reversal of 10042722240 is 4222724001.

10042722240 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10042722240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042722241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8709504 + ... + 8710656.

Almost surely, 2^10042722240 is an apocalyptic number.

10042722240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405116288).

10042722240 is an abundant number, since it is smaller than the sum of its proper divisors (22767510336).

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

10042722240 is a wasteful number, since it uses less digits than its factorization.

10042722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The spelling of 10042722240 in words is "ten billion, forty-two million, seven hundred twenty-two thousand, two hundred forty".