40100004 has 72 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 11390400.

The previous prime is 40100003. The next prime is 40100041. The reversal of 40100004 is 40000104.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100003) by changing a digit.

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, 56854 + ... + 57554.

It is an arithmetic number, because the mean of its divisors is an integer number (1618344).

Almost surely, 2^40100004 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 40100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

40100004 is an abundant number, since it is smaller than the sum of its proper divisors (76420764).

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

40100004 is a wasteful number, since it uses less digits than its factorization.

With its successor (40100005) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (945).

40100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40100004 is about 6332.4563954282. The cubic root of 40100004 is about 342.2799595400.

Adding to 40100004 its reverse (40000104), we get a palindrome (80100108).

The spelling of 40100004 in words is "forty million, one hundred thousand, four".