42232861800 has 288 divisors, whose sum is σ = 152943336000. Its totient is φ = 10408780800.

The previous prime is 42232861799. The next prime is 42232861829. The reversal of 42232861800 is 816823224.

42232861800 is a `hidden beast` number, since 4 + 2 + 2 + 32 + 8 + 618 + 0 + 0 = 666.

It is a super-2 number, since 2×42232861800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1387141 + ... + 1417259.

It is an arithmetic number, because the mean of its divisors is an integer number (531053250).

Almost surely, 2^42232861800 is an apocalyptic number.

42232861800 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 42232861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76471668000).

42232861800 is an abundant number, since it is smaller than the sum of its proper divisors (110710474200).

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

42232861800 is a wasteful number, since it uses less digits than its factorization.

42232861800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30201 (or 30189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42232861800 in words is "forty-two billion, two hundred thirty-two million, eight hundred sixty-one thousand, eight hundred".