42814038645 has 192 divisors, whose sum is σ = 94076398080. Its totient is φ = 18083865600.

The previous prime is 42814038629. The next prime is 42814038679. The reversal of 42814038645 is 54683041824.

42814038645 is a `hidden beast` number, since 428 + 140 + 3 + 86 + 4 + 5 = 666.

It is not a de Polignac number, because 42814038645 - 2⁴ = 42814038629 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42814038645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13985415 + ... + 13988475.

It is an arithmetic number, because the mean of its divisors is an integer number (489981240).

Almost surely, 2^42814038645 is an apocalyptic number.

42814038645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42814038645 is an abundant number, since it is smaller than the sum of its proper divisors (51262359435).

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

42814038645 is a wasteful number, since it uses less digits than its factorization.

42814038645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42814038645 in words is "forty-two billion, eight hundred fourteen million, thirty-eight thousand, six hundred forty-five".