40859352576 has 480 divisors, whose sum is σ = 143744103360. Its totient is φ = 10907025408.

The previous prime is 40859352571. The next prime is 40859352601. The reversal of 40859352576 is 67525395804.

40859352576 is a `hidden beast` number, since 40 + 8 + 5 + 9 + 3 + 525 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40859352571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147506550 + ... + 147506826.

It is an arithmetic number, because the mean of its divisors is an integer number (299466882).

Almost surely, 2^40859352576 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 40859352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71872051680).

40859352576 is an abundant number, since it is smaller than the sum of its proper divisors (102884750784).

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

40859352576 is a wasteful number, since it uses less digits than its factorization.

40859352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 40859352576 in words is "forty billion, eight hundred fifty-nine million, three hundred fifty-two thousand, five hundred seventy-six".