42991200 has 216 divisors, whose sum is σ = 173457648. Its totient is φ = 9815040.

The previous prime is 42991177. The next prime is 42991213. The reversal of 42991200 is 219924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49974 + ... + 50826.

Almost surely, 2^42991200 is an apocalyptic number.

42991200 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 42991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86728824).

42991200 is an abundant number, since it is smaller than the sum of its proper divisors (130466448).

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

42991200 is a wasteful number, since it uses less digits than its factorization.

42991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42991200 is about 6556.7674962591. The cubic root of 42991200 is about 350.3159052586.

The spelling of 42991200 in words is "forty-two million, nine hundred ninety-one thousand, two hundred".