40305581406 has 48 divisors (see below), whose sum is σ = 89726077584. Its totient is φ = 13066676352.

The previous prime is 40305581399. The next prime is 40305581413. The reversal of 40305581406 is 60418550304.

It is a happy number.

40305581406 is a `hidden beast` number, since 4 + 0 + 30 + 5 + 581 + 40 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40305581399) and next prime (40305581413).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1795705 + ... + 1818011.

It is an arithmetic number, because the mean of its divisors is an integer number (1869293283).

Almost surely, 2^40305581406 is an apocalyptic number.

It is a pronic number, being equal to 200762×200763.

40305581406 is an abundant number, since it is smaller than the sum of its proper divisors (49420496178).

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

40305581406 is a wasteful number, since it uses less digits than its factorization.

40305581406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25065 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40305581406 in words is "forty billion, three hundred five million, five hundred eighty-one thousand, four hundred six".