40434200 has 48 divisors (see below), whose sum is σ = 96321960. Its totient is φ = 15776000.

The previous prime is 40434193. The next prime is 40434203. The reversal of 40434200 is 243404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434203) 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, 5735 + ... + 10665.

Almost surely, 2^40434200 is an apocalyptic number.

40434200 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 40434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48160980).

40434200 is an abundant number, since it is smaller than the sum of its proper divisors (55887760).

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

40434200 is a wasteful number, since it uses less digits than its factorization.

40434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 40434200 is about 6358.7891929203. The cubic root of 40434200 is about 343.2281912208.

Adding to 40434200 its reverse (243404), we get a palindrome (40677604).

The spelling of 40434200 in words is "forty million, four hundred thirty-four thousand, two hundred".