42151200 has 288 divisors, whose sum is σ = 169739136. Its totient is φ = 8847360.

The previous prime is 42151199. The next prime is 42151229. The reversal of 42151200 is 215124.

42151200 = 368² + 369² + ... + 560².

It is a super-2 number, since 2×42151200² = 3553447322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42151200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218304 + ... + 218496.

It is an arithmetic number, because the mean of its divisors is an integer number (589372).

Almost surely, 2^42151200 is an apocalyptic number.

42151200 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 42151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84869568).

42151200 is an abundant number, since it is smaller than the sum of its proper divisors (127587936).

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

42151200 is a wasteful number, since it uses less digits than its factorization.

42151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 42151200 is about 6492.3955517205. The cubic root of 42151200 is about 348.0192881369.

Adding to 42151200 its reverse (215124), we get a palindrome (42366324).

It can be divided in two parts, 42 and 151200, that multiplied together give a square (6350400 = 2520²).

The spelling of 42151200 in words is "forty-two million, one hundred fifty-one thousand, two hundred".