40872763660240 has 240 divisors, whose sum is σ = 101924310355200. Its totient is φ = 15213941923840.

The previous prime is 40872763660147. The next prime is 40872763660279. The reversal of 40872763660240 is 4206636727804.

It is a happy number.

40872763660240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1110382956 + ... + 1110419764.

It is an arithmetic number, because the mean of its divisors is an integer number (424684626480).

Almost surely, 2^{40872763660240} is an apocalyptic number.

40872763660240 is a gapful number since it is divisible by the number (40) 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 40872763660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50962155177600).

40872763660240 is an abundant number, since it is smaller than the sum of its proper divisors (61051546694960).

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

40872763660240 is a wasteful number, since it uses less digits than its factorization.

40872763660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37286 (or 37239 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 55.

The spelling of 40872763660240 in words is "forty trillion, eight hundred seventy-two billion, seven hundred sixty-three million, six hundred sixty thousand, two hundred forty".