42014626101 has 24 divisors (see below), whose sum is σ = 72406160640. Its totient is φ = 24008357016.

The previous prime is 42014626091. The next prime is 42014626117. The reversal of 42014626101 is 10162641024.

42014626101 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 46 + 2 + 610 + 1 = 666.

It is not a de Polignac number, because 42014626101 - 2⁹ = 42014625589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014626001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15877221 + ... + 15879866.

It is an arithmetic number, because the mean of its divisors is an integer number (3016923360).

Almost surely, 2^42014626101 is an apocalyptic number.

It is an amenable number.

42014626101 is a deficient number, since it is larger than the sum of its proper divisors (30391534539).

42014626101 is a wasteful number, since it uses less digits than its factorization.

42014626101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31757110 (or 31757097 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 42014626101 in words is "forty-two billion, fourteen million, six hundred twenty-six thousand, one hundred one".