40829072087860 has 144 divisors (see below), whose sum is σ = 104993838411840. Its totient is φ = 13261168005120.

The previous prime is 40829072087851. The next prime is 40829072087861. The reversal of 40829072087860 is 6878027092804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40829072087861) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 601783099 + ... + 601850941.

It is an arithmetic number, because the mean of its divisors is an integer number (729123877860).

Almost surely, 2^{40829072087860} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40829072087860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496919205920).

40829072087860 is an abundant number, since it is smaller than the sum of its proper divisors (64164766323980).

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

40829072087860 is a wasteful number, since it uses less digits than its factorization.

40829072087860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100206 (or 100197 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 61.

The spelling of 40829072087860 in words is "forty trillion, eight hundred twenty-nine billion, seventy-two million, eighty-seven thousand, eight hundred sixty".