402220022144 has 128 divisors (see below), whose sum is σ = 856803916800. Its totient is φ = 187662182400.

The previous prime is 402220022137. The next prime is 402220022161. The reversal of 402220022144 is 441220022204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 108971339 + ... + 108975029.

It is an arithmetic number, because the mean of its divisors is an integer number (6693780600).

Almost surely, 2^402220022144 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 402220022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428401958400).

402220022144 is an abundant number, since it is smaller than the sum of its proper divisors (454583894656).

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

402220022144 is a wasteful number, since it uses less digits than its factorization.

402220022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 402220022144 its reverse (441220022204), we get a palindrome (843440044348).

The spelling of 402220022144 in words is "four hundred two billion, two hundred twenty million, twenty-two thousand, one hundred forty-four".