42174131664 has 120 divisors (see below), whose sum is σ = 124994791488. Its totient is φ = 12003379200.

The previous prime is 42174131639. The next prime is 42174131693. The reversal of 42174131664 is 46613147124.

It is a super-2 number, since 2×42174131664² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 70172964 + ... + 70173564.

Almost surely, 2^42174131664 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 42174131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62497395744).

42174131664 is an abundant number, since it is smaller than the sum of its proper divisors (82820659824).

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

42174131664 is an equidigital number, since it uses as much as digits as its factorization.

42174131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1070 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

Adding to 42174131664 its reverse (46613147124), we get a palindrome (88787278788).

The spelling of 42174131664 in words is "forty-two billion, one hundred seventy-four million, one hundred thirty-one thousand, six hundred sixty-four".