42539105884401 has 81 divisors (see below), whose sum is σ = 74229080970681. Its totient is φ = 24305947312248.

The previous prime is 42539105884369. The next prime is 42539105884403. The reversal of 42539105884401 is 10448850193524.

The square root of 42539105884401 is 6522201.

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

42539105884401 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 9 + 10 + 588 + 4 + 40 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 42539105884401 - 2⁵ = 42539105884369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42539105884403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3698082216 + ... + 3698093718.

Almost surely, 2^{42539105884401} is an apocalyptic number.

42539105884401 is the 6522201-st square number.

42539105884401 is the 3261101-st centered octagonal number.

It is an amenable number.

42539105884401 is a deficient number, since it is larger than the sum of its proper divisors (31689975086280).

42539105884401 is an frugal number, since it uses more digits than its factorization.

42539105884401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23044 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 42539105884401 in words is "forty-two trillion, five hundred thirty-nine billion, one hundred five million, eight hundred eighty-four thousand, four hundred one".