42296849868672 has 1280 divisors, whose sum is σ = 155963385600000. Its totient is φ = 11341761564672.

The previous prime is 42296849868659. The next prime is 42296849868701. The reversal of 42296849868672 is 27686894869224.

42296849868672 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 6 + 8 + 498 + 68 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a junction number, because it is equal to n+sod(n) for n = 42296849868591 and 42296849868600.

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 159 ways as a sum of consecutive naturals, for example, 7364937033 + ... + 7364942775.

It is an arithmetic number, because the mean of its divisors is an integer number (121846395000).

Almost surely, 2^{42296849868672} is an apocalyptic number.

42296849868672 is a gapful number since it is divisible by the number (42) 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 42296849868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77981692800000).

42296849868672 is an abundant number, since it is smaller than the sum of its proper divisors (113666535731328).

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

42296849868672 is a wasteful number, since it uses less digits than its factorization.

42296849868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5883 counting only the distinct ones).

The product of its digits is 8026324992, while the sum is 81.

The spelling of 42296849868672 in words is "forty-two trillion, two hundred ninety-six billion, eight hundred forty-nine million, eight hundred sixty-eight thousand, six hundred seventy-two".