40415100 has 144 divisors (see below), whose sum is σ = 131408256. Its totient is φ = 9504000.

The previous prime is 40415099. The next prime is 40415149. The reversal of 40415100 is 151404.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40415100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121935 + ... + 122265.

Almost surely, 2^40415100 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 40415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65704128).

40415100 is an abundant number, since it is smaller than the sum of its proper divisors (90993156).

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

40415100 is a wasteful number, since it uses less digits than its factorization.

40415100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 40415100 is about 6357.2871572708. The cubic root of 40415100 is about 343.1741388678.

Adding to 40415100 its reverse (151404), we get a palindrome (40566504).

The spelling of 40415100 in words is "forty million, four hundred fifteen thousand, one hundred".