42204222240600 has 384 divisors, whose sum is σ = 149978775744000. Its totient is φ = 9617339719680.

The previous prime is 42204222240571. The next prime is 42204222240617. The reversal of 42204222240600 is 604222240224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007491184 + ... + 3007505216.

It is an arithmetic number, because the mean of its divisors is an integer number (390569728500).

Almost surely, 2^{42204222240600} is an apocalyptic number.

42204222240600 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 42204222240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74989387872000).

42204222240600 is an abundant number, since it is smaller than the sum of its proper divisors (107774553503400).

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

42204222240600 is a wasteful number, since it uses less digits than its factorization.

42204222240600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16187 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42204222240600 its reverse (604222240224), we get a palindrome (42808444480824).

The spelling of 42204222240600 in words is "forty-two trillion, two hundred four billion, two hundred twenty-two million, two hundred forty thousand, six hundred".