40264100 has 72 divisors (see below), whose sum is σ = 91119168. Its totient is φ = 15433600.

The previous prime is 40264069. The next prime is 40264117. The reversal of 40264100 is 146204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376247 + ... + 376353.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^40264100 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 40264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45559584).

40264100 is an abundant number, since it is smaller than the sum of its proper divisors (50855068).

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

40264100 is a wasteful number, since it uses less digits than its factorization.

40264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40264100 is about 6345.3999085952. The cubic root of 40264100 is about 342.7462132865.

The spelling of 40264100 in words is "forty million, two hundred sixty-four thousand, one hundred".