42128400 has 60 divisors (see below), whose sum is σ = 134955152. Its totient is φ = 11233920.

The previous prime is 42128399. The next prime is 42128467. The reversal of 42128400 is 482124.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16354 + ... + 18753.

Almost surely, 2^42128400 is an apocalyptic number.

42128400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42128400 is an abundant number, since it is smaller than the sum of its proper divisors (92826752).

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

42128400 is a wasteful number, since it uses less digits than its factorization.

42128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35128 (or 35117 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42128400 is about 6490.6394138020. The cubic root of 42128400 is about 347.9565277973.

The spelling of 42128400 in words is "forty-two million, one hundred twenty-eight thousand, four hundred".