42271891200 has 1296 divisors, whose sum is σ = 195955958016. Its totient is φ = 8758886400.

The previous prime is 42271891157. The next prime is 42271891279. The reversal of 42271891200 is 219817224.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119750224 + ... + 119750576.

Almost surely, 2^42271891200 is an apocalyptic number.

42271891200 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 42271891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977979008).

42271891200 is an abundant number, since it is smaller than the sum of its proper divisors (153684066816).

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

42271891200 is a wasteful number, since it uses less digits than its factorization.

42271891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 42271891200 in words is "forty-two billion, two hundred seventy-one million, eight hundred ninety-one thousand, two hundred".