42277886106624 has 660 divisors, whose sum is σ = 144544736309064. Its totient is φ = 11898689273856.

The previous prime is 42277886106587. The next prime is 42277886106647. The reversal of 42277886106624 is 42660168877224.

It is a happy number.

42277886106624 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 7 + 8 + 8 + 610 + 6 + 6 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1482536014 + ... + 1482564530.

Almost surely, 2^{42277886106624} 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 42277886106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72272368154532).

42277886106624 is an abundant number, since it is smaller than the sum of its proper divisors (102266850202440).

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

42277886106624 is an equidigital number, since it uses as much as digits as its factorization.

42277886106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28638 (or 28596 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 42277886106624 in words is "forty-two trillion, two hundred seventy-seven billion, eight hundred eighty-six million, one hundred six thousand, six hundred twenty-four".