42040400 has 60 divisors (see below), whose sum is σ = 101666112. Its totient is φ = 16705920.

The previous prime is 42040387. The next prime is 42040409. The reversal of 42040400 is 404024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040409) 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, 90569 + ... + 91031.

Almost surely, 2^42040400 is an apocalyptic number.

42040400 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 42040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50833056).

42040400 is an abundant number, since it is smaller than the sum of its proper divisors (59625712).

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

42040400 is a wasteful number, since it uses less digits than its factorization.

42040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

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

The square root of 42040400 is about 6483.8568768905. The cubic root of 42040400 is about 347.7140823246.

Adding to 42040400 its reverse (404024), we get a palindrome (42444424).

The spelling of 42040400 in words is "forty-two million, forty thousand, four hundred".