40839520512 has 576 divisors, whose sum is σ = 143400499200. Its totient is φ = 10032906240.

The previous prime is 40839520511. The next prime is 40839520537. The reversal of 40839520512 is 21502593804.

It is not an unprimeable number, because it can be changed into a prime (40839520511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50356587 + ... + 50357397.

It is an arithmetic number, because the mean of its divisors is an integer number (248959200).

Almost surely, 2^40839520512 is an apocalyptic number.

40839520512 is a gapful number since it is divisible by the number (42) 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 40839520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71700249600).

40839520512 is an abundant number, since it is smaller than the sum of its proper divisors (102560978688).

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

40839520512 is a wasteful number, since it uses less digits than its factorization.

40839520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 40839520512 in words is "forty billion, eight hundred thirty-nine million, five hundred twenty thousand, five hundred twelve".