42034516605000 has 240 divisors, whose sum is σ = 142272408177900. Its totient is φ = 11208133440000.

The previous prime is 42034516604999. The next prime is 42034516605083. The reversal of 42034516605000 is 50661543024.

42034516605000 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 45 + 1 + 6 + 605 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 23352118596 + 42011164486404 = 152814^2 + 6481602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 544866430 + ... + 544943570.

Almost surely, 2^{42034516605000} is an apocalyptic number.

42034516605000 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 42034516605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136204088950).

42034516605000 is an abundant number, since it is smaller than the sum of its proper divisors (100237891572900).

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

42034516605000 is a wasteful number, since it uses less digits than its factorization.

42034516605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89282 (or 89260 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42034516605000 in words is "forty-two trillion, thirty-four billion, five hundred sixteen million, six hundred five thousand".