42202020252 has 192 divisors, whose sum is σ = 118229565440. Its totient is φ = 11463379200.

The previous prime is 42202020239. The next prime is 42202020253. The reversal of 42202020252 is 25202020224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202020253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55748658 + ... + 55749414.

Almost surely, 2^42202020252 is an apocalyptic number.

42202020252 is a gapful number since it is divisible by the number (42) 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 42202020252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59114782720).

42202020252 is an abundant number, since it is smaller than the sum of its proper divisors (76027545188).

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

42202020252 is a wasteful number, since it uses less digits than its factorization.

42202020252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 42202020252 its reverse (25202020224), we get a palindrome (67404040476).

The spelling of 42202020252 in words is "forty-two billion, two hundred two million, twenty thousand, two hundred fifty-two".