42202022020224 has 512 divisors, whose sum is σ = 131444615808000. Its totient is φ = 11862000599040.

The previous prime is 42202022020181. The next prime is 42202022020261.

42202022020224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42202022020194 and 42202022020203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 802613967 + ... + 802666545.

It is an arithmetic number, because the mean of its divisors is an integer number (256727765250).

Almost surely, 2^{42202022020224} is an apocalyptic number.

42202022020224 is a gapful number since it is divisible by the number (44) 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 42202022020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65722307904000).

42202022020224 is an abundant number, since it is smaller than the sum of its proper divisors (89242593787776).

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

42202022020224 is a wasteful number, since it uses less digits than its factorization.

42202022020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52836 (or 52824 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4220202 and 2020224, that added together give a palindrome (6240426).

The spelling of 42202022020224 in words is "forty-two trillion, two hundred two billion, twenty-two million, twenty thousand, two hundred twenty-four".