42574084969984 has 80 divisors (see below), whose sum is σ = 88768283868000. Its totient is φ = 20360420720640.

The previous prime is 42574084969963. The next prime is 42574084969991. The reversal of 42574084969984 is 48996948047524.

It is a super-2 number, since 2×42574084969984² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244253104 + ... + 244427344.

It is an arithmetic number, because the mean of its divisors is an integer number (1109603548350).

Almost surely, 2^{42574084969984} 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 42574084969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44384141934000).

42574084969984 is an abundant number, since it is smaller than the sum of its proper divisors (46194198898016).

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

42574084969984 is a wasteful number, since it uses less digits than its factorization.

42574084969984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195031 (or 195015 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 79.

The spelling of 42574084969984 in words is "forty-two trillion, five hundred seventy-four billion, eighty-four million, nine hundred sixty-nine thousand, nine hundred eighty-four".