42434085081025 has 81 divisors (see below), whose sum is σ = 61447705654377. Its totient is φ = 29041621804800.

The previous prime is 42434085080969. The next prime is 42434085081041. The reversal of 42434085081025 is 52018058043424.

The square root of 42434085081025 is 6514145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 992575830961 + 41441509250064 = 996281^2 + 6437508^2 .

It is not a de Polignac number, because 42434085081025 - 2¹⁷ = 42434084949953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6090722092 + ... + 6090729058.

Almost surely, 2^{42434085081025} is an apocalyptic number.

42434085081025 is the 6514145-th square number.

42434085081025 is the 3257073-rd centered octagonal number.

It is an amenable number.

42434085081025 is a deficient number, since it is larger than the sum of its proper divisors (19013620573352).

42434085081025 is an frugal number, since it uses more digits than its factorization.

42434085081025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14000 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 42434085081025 in words is "forty-two trillion, four hundred thirty-four billion, eighty-five million, eighty-one thousand, twenty-five".