42204024000 has 224 divisors, whose sum is σ = 154842667200. Its totient is φ = 11254348800.

The previous prime is 42204023993. The next prime is 42204024001. The reversal of 42204024000 is 42040224.

42204024000 is a `hidden beast` number, since 4 + 220 + 40 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42204024001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118306 + ... + 313694.

Almost surely, 2^42204024000 is an apocalyptic number.

42204024000 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 42204024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77421333600).

42204024000 is an abundant number, since it is smaller than the sum of its proper divisors (112638643200).

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

42204024000 is a wasteful number, since it uses less digits than its factorization.

42204024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195425 (or 195399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42204024000 its reverse (42040224), we get a palindrome (42246064224).

It can be divided in two parts, 422040 and 24000, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 42204024000 in words is "forty-two billion, two hundred four million, twenty-four thousand".