42148800 has 126 divisors (see below), whose sum is σ = 149857968. Its totient is φ = 11235840.

The previous prime is 42148793. The next prime is 42148807. The reversal of 42148800 is 884124.

It is an interprime number because it is at equal distance from previous prime (42148793) and next prime (42148807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42148807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12937 + ... + 15863.

Almost surely, 2^42148800 is an apocalyptic number.

42148800 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 42148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74928984).

42148800 is an abundant number, since it is smaller than the sum of its proper divisors (107709168).

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

42148800 is a wasteful number, since it uses less digits than its factorization.

42148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42148800 is about 6492.2107174675. The cubic root of 42148800 is about 348.0126828513.

The spelling of 42148800 in words is "forty-two million, one hundred forty-eight thousand, eight hundred".