42034676544 has 784 divisors, whose sum is σ = 154953053568. Its totient is φ = 11036196864.

The previous prime is 42034676507. The next prime is 42034676569. The reversal of 42034676544 is 44567643024.

42034676544 is a `hidden beast` number, since 4 + 2 + 0 + 34 + 6 + 76 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42034676544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 371988232 + ... + 371988344.

Almost surely, 2^42034676544 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 42034676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77476526784).

42034676544 is an abundant number, since it is smaller than the sum of its proper divisors (112918377024).

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

42034676544 is a wasteful number, since it uses less digits than its factorization.

42034676544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 42034676544 in words is "forty-two billion, thirty-four million, six hundred seventy-six thousand, five hundred forty-four".