42146400 has 144 divisors (see below), whose sum is σ = 145396944. Its totient is φ = 10567680.

The previous prime is 42146369. The next prime is 42146411. The reversal of 42146400 is 464124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40284 + ... + 41316.

It is an arithmetic number, because the mean of its divisors is an integer number (1009701).

Almost surely, 2^42146400 is an apocalyptic number.

42146400 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 42146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72698472).

42146400 is an abundant number, since it is smaller than the sum of its proper divisors (103250544).

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

42146400 is a wasteful number, since it uses less digits than its factorization.

42146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42146400 is about 6492.0258779521. The cubic root of 42146400 is about 348.0060773149.

The spelling of 42146400 in words is "forty-two million, one hundred forty-six thousand, four hundred".