42129964800001 has 8 divisors (see below), whose sum is σ = 45605812835240. Its totient is φ = 38687699837952.

The previous prime is 42129964799987. The next prime is 42129964800019. The reversal of 42129964800001 is 10000846992124.

It can be written as a sum of positive squares in 4 ways, for example, as 3689468798401 + 38440496001600 = 1920799^2 + 6200040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42129964800001 - 2¹³ = 42129964791809 is a prime.

It is a super-3 number, since 3×42129964800001³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42129964800041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8395765686 + ... + 8395770703.

It is an arithmetic number, because the mean of its divisors is an integer number (5700726604405).

Almost surely, 2^{42129964800001} is an apocalyptic number.

It is an amenable number.

42129964800001 is a deficient number, since it is larger than the sum of its proper divisors (3475848035239).

42129964800001 is a wasteful number, since it uses less digits than its factorization.

42129964800001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16791536595.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 42129964800001 in words is "forty-two trillion, one hundred twenty-nine billion, nine hundred sixty-four million, eight hundred thousand, one".