4002134322401 has 8 divisors (see below), whose sum is σ = 4041800627904. Its totient is φ = 3962468825200.

The previous prime is 4002134322383. The next prime is 4002134322443. The reversal of 4002134322401 is 1042234312004.

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 4002134322401 - 2¹⁰ = 4002134321377 is a prime.

It is a super-2 number, since 2×4002134322401² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4002134322481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16803590 + ... + 17040096.

It is an arithmetic number, because the mean of its divisors is an integer number (505225078488).

Almost surely, 2^{4002134322401} is an apocalyptic number.

It is an amenable number.

4002134322401 is a deficient number, since it is larger than the sum of its proper divisors (39666305503).

4002134322401 is a wasteful number, since it uses less digits than its factorization.

4002134322401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404151.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4002134322401 its reverse (1042234312004), we get a palindrome (5044368634405).

The spelling of 4002134322401 in words is "four trillion, two billion, one hundred thirty-four million, three hundred twenty-two thousand, four hundred one".