40415004 has 96 divisors (see below), whose sum is σ = 122304000. Its totient is φ = 11536560.

The previous prime is 40414993. The next prime is 40415029. The reversal of 40415004 is 40051404.

40415004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36499 + ... + 37589.

It is an arithmetic number, because the mean of its divisors is an integer number (1274000).

Almost surely, 2^40415004 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 40415004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152000).

40415004 is an abundant number, since it is smaller than the sum of its proper divisors (81888996).

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

40415004 is a wasteful number, since it uses less digits than its factorization.

40415004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40415004 is about 6357.2796068759. The cubic root of 40415004 is about 343.1738671480.

Adding to 40415004 its reverse (40051404), we get a palindrome (80466408).

It can be divided in two parts, 4041 and 5004, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 40415004 in words is "forty million, four hundred fifteen thousand, four".