42677096938441 has 27 divisors (see below), whose sum is σ = 49892464899693. Its totient is φ = 36398770836120.

The previous prime is 42677096938417. The next prime is 42677096938477. The reversal of 42677096938441 is 14483969077624.

The square root of 42677096938441 is 6532771.

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

It is not a de Polignac number, because 42677096938441 - 2⁵ = 42677096938409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42677096935441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9648900556 + ... + 9648904978.

It is an arithmetic number, because the mean of its divisors is an integer number (1847869070359).

Almost surely, 2^{42677096938441} is an apocalyptic number.

42677096938441 is the 6532771-st square number.

42677096938441 is the 3266386-th centered octagonal number.

It is an amenable number.

42677096938441 is a deficient number, since it is larger than the sum of its proper divisors (7215367961252).

42677096938441 is an frugal number, since it uses more digits than its factorization.

42677096938441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 70.

The spelling of 42677096938441 in words is "forty-two trillion, six hundred seventy-seven billion, ninety-six million, nine hundred thirty-eight thousand, four hundred forty-one".