40242100 has 36 divisors (see below), whose sum is σ = 88195744. Its totient is φ = 15936480.

The previous prime is 40242079. The next prime is 40242113. The reversal of 40242100 is 124204.

It is a super-2 number, since 2×40242100² = 3238853224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8347 + ... + 12253.

Almost surely, 2^40242100 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 40242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44097872).

40242100 is an abundant number, since it is smaller than the sum of its proper divisors (47953644).

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

40242100 is a wasteful number, since it uses less digits than its factorization.

40242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40242100 is about 6343.6661324505. Note that the first 3 decimals coincide. The cubic root of 40242100 is about 342.6837772665.

Adding to 40242100 its reverse (124204), we get a palindrome (40366304).

The spelling of 40242100 in words is "forty million, two hundred forty-two thousand, one hundred".