40005504 has 288 divisors, whose sum is σ = 148140720. Its totient is φ = 10137600.

The previous prime is 40005479. The next prime is 40005541. The reversal of 40005504 is 40550004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975724 + ... + 975764.

Almost surely, 2^40005504 is an apocalyptic number.

40005504 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 40005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070360).

40005504 is an abundant number, since it is smaller than the sum of its proper divisors (108135216).

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

40005504 is a wasteful number, since it uses less digits than its factorization.

40005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40005504 is about 6324.9904347754. The cubic root of 40005504 is about 342.0108747953.

Adding to 40005504 its reverse (40550004), we get a palindrome (80555508).

The spelling of 40005504 in words is "forty million, five thousand, five hundred four".