40533504 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 12277760.

The previous prime is 40533473. The next prime is 40533509.

It is a happy number.

40533504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40533509) 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 7 ways as a sum of consecutive naturals, for example, 15697 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^40533504 is an apocalyptic number.

40533504 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 40533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

40533504 is an abundant number, since it is smaller than the sum of its proper divisors (77316096).

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

40533504 is a wasteful number, since it uses less digits than its factorization.

40533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 40533504 is about 6366.5928093447. The cubic root of 40533504 is about 343.5089442105.

It can be divided in two parts, 4053 and 3504, that added together give a palindrome (7557).

The spelling of 40533504 in words is "forty million, five hundred thirty-three thousand, five hundred four".