42182738790976 has 63 divisors (see below), whose sum is σ = 97373558363619. Its totient is φ = 18078160748928.

The previous prime is 42182738790971. The next prime is 42182738790979. The reversal of 42182738790976 is 67909783728124.

The square root of 42182738790976 is 6494824.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×42182738790976² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42182738790899 and 42182738790908.

It is not an unprimeable number, because it can be changed into a prime (42182738790971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 363652155 + ... + 363768133.

Almost surely, 2^{42182738790976} is an apocalyptic number.

42182738790976 is the 6494824-th square number.

It is an amenable number.

42182738790976 is an abundant number, since it is smaller than the sum of its proper divisors (55190819572643).

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

42182738790976 is an frugal number, since it uses more digits than its factorization.

42182738790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231984 (or 115988 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 73.

The spelling of 42182738790976 in words is "forty-two trillion, one hundred eighty-two billion, seven hundred thirty-eight million, seven hundred ninety thousand, nine hundred seventy-six".