40605642406032 has 160 divisors (see below), whose sum is σ = 114879276255744. Its totient is φ = 12256920576000.

The previous prime is 40605642405973. The next prime is 40605642406079. The reversal of 40605642406032 is 23060424650604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259437463 + ... + 259593929.

Almost surely, 2^{40605642406032} 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 40605642406032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57439638127872).

40605642406032 is an abundant number, since it is smaller than the sum of its proper divisors (74273633849712).

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

40605642406032 is a wasteful number, since it uses less digits than its factorization.

40605642406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158397 (or 158391 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 40605642406032 in words is "forty trillion, six hundred five billion, six hundred forty-two million, four hundred six thousand, thirty-two".