42002033400 has 144 divisors (see below), whose sum is σ = 141509387760. Its totient is φ = 11164608000.

The previous prime is 42002033383. The next prime is 42002033413. The reversal of 42002033400 is 433020024.

42002033400 is a `hidden beast` number, since 420 + 0 + 203 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 526125 + ... + 600675.

Almost surely, 2^42002033400 is an apocalyptic number.

42002033400 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 42002033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70754693880).

42002033400 is an abundant number, since it is smaller than the sum of its proper divisors (99507354360).

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

42002033400 is a wasteful number, since it uses less digits than its factorization.

42002033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74886 (or 74874 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42002033400 its reverse (433020024), we get a palindrome (42435053424).

The spelling of 42002033400 in words is "forty-two billion, two million, thirty-three thousand, four hundred".