402003430400401 has 8 divisors (see below), whose sum is σ = 406527725961000. Its totient is φ = 397479299352960.

The previous prime is 402003430400333. The next prime is 402003430400477. The reversal of 402003430400401 is 104004034300204.

It can be written as a sum of positive squares in 4 ways, for example, as 14326232570001 + 387677197830400 = 3785001^2 + 19689520^2 .

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 402003430400401 - 2¹³ = 402003430392209 is a prime.

It is a super-2 number, since 2×402003430400401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402003430400501) 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, 36210310 + ... + 45991231.

It is an arithmetic number, because the mean of its divisors is an integer number (50815965745125).

Almost surely, 2^{402003430400401} is an apocalyptic number.

It is an amenable number.

402003430400401 is a deficient number, since it is larger than the sum of its proper divisors (4524295560599).

402003430400401 is an equidigital number, since it uses as much as digits as its factorization.

402003430400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82256579.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 402003430400401 its reverse (104004034300204), we get a palindrome (506007464700605).

The spelling of 402003430400401 in words is "four hundred two trillion, three billion, four hundred thirty million, four hundred thousand, four hundred one".