42618526680576 has 480 divisors, whose sum is σ = 147976367692032. Its totient is φ = 10770557091840.

The previous prime is 42618526680557. The next prime is 42618526680637. The reversal of 42618526680576 is 67508662581624.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29936805 + ... + 31328091.

Almost surely, 2^{42618526680576} 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 42618526680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73988183846016).

42618526680576 is an abundant number, since it is smaller than the sum of its proper divisors (105357841011456).

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

42618526680576 is a wasteful number, since it uses less digits than its factorization.

42618526680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391370 (or 1391347 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 42618526680576 in words is "forty-two trillion, six hundred eighteen billion, five hundred twenty-six million, six hundred eighty thousand, five hundred seventy-six".