42571200 has 252 divisors, whose sum is σ = 163369752. Its totient is φ = 9676800.

The previous prime is 42571171. The next prime is 42571211. The reversal of 42571200 is 217524.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 235110 + ... + 235290.

Almost surely, 2^42571200 is an apocalyptic number.

42571200 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 42571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81684876).

42571200 is an abundant number, since it is smaller than the sum of its proper divisors (120798552).

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

42571200 is a wasteful number, since it uses less digits than its factorization.

42571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 42571200 is about 6524.6609107294. The cubic root of 42571200 is about 349.1713731028.

Adding to 42571200 its reverse (217524), we get a palindrome (42788724).

The spelling of 42571200 in words is "forty-two million, five hundred seventy-one thousand, two hundred".