42064966034001 has 27 divisors (see below), whose sum is σ = 63095031357033. Its totient is φ = 28042960458780.

The previous prime is 42064966033949. The next prime is 42064966034023. The reversal of 42064966034001 is 10043066946024.

The square root of 42064966034001 is 6485751.

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

42064966034001 is a `hidden beast` number, since 4 + 206 + 49 + 6 + 60 + 340 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 42064966034001 - 2¹¹ = 42064966031953 is a prime.

It is a super-2 number, since 2×42064966034001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42064966034051) 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, 525305796 + ... + 525385866.

Almost surely, 2^{42064966034001} is an apocalyptic number.

42064966034001 is the 6485751-st square number.

42064966034001 is the 3242876-th centered octagonal number.

It is an amenable number.

42064966034001 is a deficient number, since it is larger than the sum of its proper divisors (21030065323032).

42064966034001 is an frugal number, since it uses more digits than its factorization.

42064966034001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160166 (or 80074 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 42064966034001 in words is "forty-two trillion, sixty-four billion, nine hundred sixty-six million, thirty-four thousand, one".