42020452800 has 252 divisors, whose sum is σ = 149526315120. Its totient is φ = 11192279040.

The previous prime is 42020452777. The next prime is 42020452811. The reversal of 42020452800 is 825402024.

It is a happy number.

42020452800 is a `hidden beast` number, since 4 + 202 + 0 + 452 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22362261 + ... + 22364139.

Almost surely, 2^42020452800 is an apocalyptic number.

42020452800 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 42020452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74763157560).

42020452800 is an abundant number, since it is smaller than the sum of its proper divisors (107505862320).

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

42020452800 is a wasteful number, since it uses less digits than its factorization.

42020452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42020452800 its reverse (825402024), we get a palindrome (42845854824).

The spelling of 42020452800 in words is "forty-two billion, twenty million, four hundred fifty-two thousand, eight hundred".