42004400 has 60 divisors (see below), whose sum is σ = 101666112. Its totient is φ = 16677120.

The previous prime is 42004397. The next prime is 42004409. The reversal of 42004400 is 440024.

It is a super-3 number, since 3×42004400³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42004409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68897 + ... + 69503.

Almost surely, 2^42004400 is an apocalyptic number.

42004400 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 42004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50833056).

42004400 is an abundant number, since it is smaller than the sum of its proper divisors (59661712).

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

42004400 is a wasteful number, since it uses less digits than its factorization.

42004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42004400 is about 6481.0801568874. The cubic root of 42004400 is about 347.6148025705.

Adding to 42004400 its reverse (440024), we get a palindrome (42444424).

The spelling of 42004400 in words is "forty-two million, four thousand, four hundred".