40332114440004 has 192 divisors, whose sum is σ = 96493370867712. Its totient is φ = 13109255913600.

The previous prime is 40332114440003. The next prime is 40332114440021. The reversal of 40332114440004 is 40004441123304.

40332114440004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40332114440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21556447189 + ... + 21556449059.

It is an arithmetic number, because the mean of its divisors is an integer number (502569639936).

Almost surely, 2^{40332114440004} is an apocalyptic number.

It is an amenable number.

40332114440004 is an abundant number, since it is smaller than the sum of its proper divisors (56161256427708).

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

40332114440004 is a wasteful number, since it uses less digits than its factorization.

40332114440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 40332114440004 its reverse (40004441123304), we get a palindrome (80336555563308).

The spelling of 40332114440004 in words is "forty trillion, three hundred thirty-two billion, one hundred fourteen million, four hundred forty thousand, four".