42517028736 has 1024 divisors, whose sum is σ = 164505600000. Its totient is φ = 10729635840.

The previous prime is 42517028677. The next prime is 42517028737. The reversal of 42517028736 is 63782071524.

42517028736 is a `hidden beast` number, since 42 + 517 + 0 + 28 + 73 + 6 = 666.

42517028736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42517028691 and 42517028700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42517028737) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477719380 + ... + 477719468.

It is an arithmetic number, because the mean of its divisors is an integer number (160650000).

Almost surely, 2^42517028736 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 42517028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800000).

42517028736 is an abundant number, since it is smaller than the sum of its proper divisors (121988571264).

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

42517028736 is a wasteful number, since it uses less digits than its factorization.

42517028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42517028736 in words is "forty-two billion, five hundred seventeen million, twenty-eight thousand, seven hundred thirty-six".