40955904 has 156 divisors (see below), whose sum is σ = 130335192. Its totient is φ = 12288000.

The previous prime is 40955879. The next prime is 40955911.

40955904 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 405454 + ... + 405554.

It is an arithmetic number, because the mean of its divisors is an integer number (835482).

Almost surely, 2^40955904 is an apocalyptic number.

40955904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65167596).

40955904 is an abundant number, since it is smaller than the sum of its proper divisors (89379288).

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

40955904 is a wasteful number, since it uses less digits than its factorization.

40955904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 40955904 is about 6399.6799919996. The cubic root of 40955904 is about 344.6980597037.

It can be divided in two parts, 4095 and 5904, that added together give a palindrome (9999).

The spelling of 40955904 in words is "forty million, nine hundred fifty-five thousand, nine hundred four".