42606886256640 has 864 divisors, whose sum is σ = 153801856615680. Its totient is φ = 11330877652992.

The previous prime is 42606886256639. The next prime is 42606886256717. The reversal of 42606886256640 is 4665268860624.

42606886256640 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 6 + 8 + 8 + 62 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116095057737 + ... + 116095058103.

It is an arithmetic number, because the mean of its divisors is an integer number (178011408120).

Almost surely, 2^{42606886256640} is an apocalyptic number.

42606886256640 is a gapful number since it is divisible by the number (40) 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 42606886256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76900928307840).

42606886256640 is an abundant number, since it is smaller than the sum of its proper divisors (111194970359040).

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

42606886256640 is an frugal number, since it uses more digits than its factorization.

42606886256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 42606886256640 in words is "forty-two trillion, six hundred six billion, eight hundred eighty-six million, two hundred fifty-six thousand, six hundred forty".