42420331800 has 960 divisors, whose sum is σ = 189784995840. Its totient is φ = 8522496000.

The previous prime is 42420331753. The next prime is 42420331823. The reversal of 42420331800 is 813302424.

42420331800 is a `hidden beast` number, since 424 + 203 + 31 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38668852 + ... + 38669948.

It is an arithmetic number, because the mean of its divisors is an integer number (197692704).

Almost surely, 2^42420331800 is an apocalyptic number.

42420331800 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 42420331800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94892497920).

42420331800 is an abundant number, since it is smaller than the sum of its proper divisors (147364664040).

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

42420331800 is a wasteful number, since it uses less digits than its factorization.

42420331800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42420331800 in words is "forty-two billion, four hundred twenty million, three hundred thirty-one thousand, eight hundred".