42495439539168 has 576 divisors, whose sum is σ = 152807794513920. Its totient is φ = 10881274060800.

The previous prime is 42495439539151. The next prime is 42495439539169. The reversal of 42495439539168 is 86193593459424.

It is a happy number.

42495439539168 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 54 + 39 + 539 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×42495439539168² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42495439539096 and 42495439539105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42495439539169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1157990196 + ... + 1158026892.

It is an arithmetic number, because the mean of its divisors is an integer number (265291309920).

Almost surely, 2^{42495439539168} is an apocalyptic number.

42495439539168 is a gapful number since it is divisible by the number (48) 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 42495439539168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76403897256960).

42495439539168 is an abundant number, since it is smaller than the sum of its proper divisors (110312354974752).

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

42495439539168 is a wasteful number, since it uses less digits than its factorization.

42495439539168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37471 (or 37460 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 42495439539168 in words is "forty-two trillion, four hundred ninety-five billion, four hundred thirty-nine million, five hundred thirty-nine thousand, one hundred sixty-eight".