40240533504204 has 288 divisors, whose sum is σ = 113800729835520. Its totient is φ = 11886840000000.

The previous prime is 40240533504173. The next prime is 40240533504251.

40240533504204 is a `hidden beast` number, since 40 + 2 + 40 + 53 + 3 + 504 + 20 + 4 = 666.

40240533504204 is nontrivially palindromic in base 10.

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

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 95 ways as a sum of consecutive naturals, for example, 2132617282 + ... + 2132636150.

It is an arithmetic number, because the mean of its divisors is an integer number (395141423040).

Almost surely, 2^{40240533504204} is an apocalyptic number.

40240533504204 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 40240533504204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56900364917760).

40240533504204 is an abundant number, since it is smaller than the sum of its proper divisors (73560196331316).

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

40240533504204 is a wasteful number, since it uses less digits than its factorization.

40240533504204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813 (or 19808 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4024053 and 3504204, that added together give a palindrome (7528257).

The spelling of 40240533504204 in words is "forty trillion, two hundred forty billion, five hundred thirty-three million, five hundred four thousand, two hundred four".