42118822800 has 480 divisors, whose sum is σ = 156927456000. Its totient is φ = 10715443200.

The previous prime is 42118822799. The next prime is 42118822817. The reversal of 42118822800 is 822881124.

42118822800 is a `hidden beast` number, since 421 + 1 + 8 + 8 + 228 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27874045 + ... + 27875555.

It is an arithmetic number, because the mean of its divisors is an integer number (326932200).

Almost surely, 2^42118822800 is an apocalyptic number.

42118822800 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 42118822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78463728000).

42118822800 is an abundant number, since it is smaller than the sum of its proper divisors (114808633200).

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

42118822800 is a wasteful number, since it uses less digits than its factorization.

42118822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 42118822800 in words is "forty-two billion, one hundred eighteen million, eight hundred twenty-two thousand, eight hundred".