42122022202240 has 256 divisors, whose sum is σ = 108526151923200. Its totient is φ = 15581730447360.

The previous prime is 42122022202229. The next prime is 42122022202289. The reversal of 42122022202240 is 4220222022124.

It is a super-2 number, since 2×42122022202240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932272450 + ... + 932317630.

It is an arithmetic number, because the mean of its divisors is an integer number (423930280950).

Almost surely, 2^{42122022202240} is an apocalyptic number.

42122022202240 is a gapful number since it is divisible by the number (40) 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 42122022202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54263075961600).

42122022202240 is an abundant number, since it is smaller than the sum of its proper divisors (66404129720960).

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

42122022202240 is a wasteful number, since it uses less digits than its factorization.

42122022202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47045 (or 47033 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 42122022202240 its reverse (4220222022124), we get a palindrome (46342244224364).

The spelling of 42122022202240 in words is "forty-two trillion, one hundred twenty-two billion, twenty-two million, two hundred two thousand, two hundred forty".