42627435840 has 560 divisors, whose sum is σ = 168990776064. Its totient is φ = 10110873600.

The previous prime is 42627435833. The next prime is 42627435841. The reversal of 42627435840 is 4853472624.

It is a happy number.

42627435840 is a `hidden beast` number, since 4 + 2 + 6 + 27 + 43 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42627435841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13399050 + ... + 13402230.

Almost surely, 2^42627435840 is an apocalyptic number.

42627435840 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 42627435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84495388032).

42627435840 is an abundant number, since it is smaller than the sum of its proper divisors (126363340224).

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

42627435840 is a wasteful number, since it uses less digits than its factorization.

42627435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42627435840 in words is "forty-two billion, six hundred twenty-seven million, four hundred thirty-five thousand, eight hundred forty".