40870675717920 has 288 divisors, whose sum is σ = 147013782814080. Its totient is φ = 10311015813120.

The previous prime is 40870675717913. The next prime is 40870675717933. The reversal of 40870675717920 is 2971757607804.

40870675717920 is a `hidden beast` number, since 408 + 7 + 0 + 6 + 7 + 57 + 179 + 2 + 0 = 666.

40870675717920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 18863340 + ... + 20918100.

It is an arithmetic number, because the mean of its divisors is an integer number (510464523660).

Almost surely, 2^{40870675717920} is an apocalyptic number.

40870675717920 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 40870675717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73506891407040).

40870675717920 is an abundant number, since it is smaller than the sum of its proper divisors (106143107096160).

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

40870675717920 is a wasteful number, since it uses less digits than its factorization.

40870675717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055528 (or 2055517 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 40870675717920 in words is "forty trillion, eight hundred seventy billion, six hundred seventy-five million, seven hundred seventeen thousand, nine hundred twenty".