42612272640 has 800 divisors, whose sum is σ = 180243892224. Its totient is φ = 9415802880.

The previous prime is 42612272639. The next prime is 42612272669. The reversal of 42612272640 is 4627221624.

42612272640 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 2 + 2 + 7 + 2 + 640 = 666.

42612272640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42612272595 and 42612272604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44996647 + ... + 44997593.

Almost surely, 2^42612272640 is an apocalyptic number.

42612272640 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 42612272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90121946112).

42612272640 is an abundant number, since it is smaller than the sum of its proper divisors (137631619584).

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

42612272640 is an equidigital number, since it uses as much as digits as its factorization.

42612272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42612272640 in words is "forty-two billion, six hundred twelve million, two hundred seventy-two thousand, six hundred forty".