202022431440 has 160 divisors (see below), whose sum is σ = 648037272960. Its totient is φ = 52028325888.

The previous prime is 202022431433. The next prime is 202022431441. The reversal of 202022431440 is 44134220202.

202022431440 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 202022431440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022431441) 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 31 ways as a sum of consecutive naturals, for example, 808504 + ... + 1028456.

It is an arithmetic number, because the mean of its divisors is an integer number (4050232956).

Almost surely, 2^202022431440 is an apocalyptic number.

202022431440 is a gapful number since it is divisible by the number (20) 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 202022431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324018636480).

202022431440 is an abundant number, since it is smaller than the sum of its proper divisors (446014841520).

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

202022431440 is a wasteful number, since it uses less digits than its factorization.

202022431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220101 (or 220095 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202022431440 its reverse (44134220202), we get a palindrome (246156651642).

The spelling of 202022431440 in words is "two hundred two billion, twenty-two million, four hundred thirty-one thousand, four hundred forty".