42221727900 has 540 divisors, whose sum is σ = 157064332656. Its totient is φ = 9785318400.

The previous prime is 42221727869. The next prime is 42221727929. The reversal of 42221727900 is 972712224.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 22541364 + ... + 22543236.

Almost surely, 2^42221727900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221727900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78532166328).

42221727900 is an abundant number, since it is smaller than the sum of its proper divisors (114842604756).

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

42221727900 is a wasteful number, since it uses less digits than its factorization.

42221727900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 42221727900 in words is "forty-two billion, two hundred twenty-one million, seven hundred twenty-seven thousand, nine hundred".