40552533525504 has 704 divisors, whose sum is σ = 145327698432000. Its totient is φ = 9709252116480.

The previous prime is 40552533525463. The next prime is 40552533525527.

It is a happy number.

40552533525504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2284769622 + ... + 2284787370.

Almost surely, 2^{40552533525504} is an apocalyptic number.

40552533525504 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 40552533525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72663849216000).

40552533525504 is an abundant number, since it is smaller than the sum of its proper divisors (104775164906496).

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

40552533525504 is a wasteful number, since it uses less digits than its factorization.

40552533525504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546 (or 18528 counting only the distinct ones).

The product of its (nonzero) digits is 9000000, while the sum is 48.

40552533525504 divided by its sum of digits (48) gives a palindrome (844844448448).

The spelling of 40552533525504 in words is "forty trillion, five hundred fifty-two billion, five hundred thirty-three million, five hundred twenty-five thousand, five hundred four".