40434100 has 72 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 13557120.

The previous prime is 40434083. The next prime is 40434151. The reversal of 40434100 is 143404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32286 + ... + 33514.

It is an arithmetic number, because the mean of its divisors is an integer number (1423520).

Almost surely, 2^40434100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

40434100 is an abundant number, since it is smaller than the sum of its proper divisors (62059340).

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

40434100 is a wasteful number, since it uses less digits than its factorization.

40434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40434100 is about 6358.7813297832. The cubic root of 40434100 is about 343.2279082685.

Adding to 40434100 its reverse (143404), we get a palindrome (40577504).

The spelling of 40434100 in words is "forty million, four hundred thirty-four thousand, one hundred".