400013434122001 has 32 divisors (see below), whose sum is σ = 480994552954368. Its totient is φ = 325246913671680.

The previous prime is 400013434121989. The next prime is 400013434122031. The reversal of 400013434122001 is 100221434310004.

It is not a de Polignac number, because 400013434122001 - 2¹³ = 400013434113809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400013434122031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018010 + ... + 28356643.

It is an arithmetic number, because the mean of its divisors is an integer number (15031079779824).

Almost surely, 2^{400013434122001} is an apocalyptic number.

It is an amenable number.

400013434122001 is a deficient number, since it is larger than the sum of its proper divisors (80981118832367).

400013434122001 is a wasteful number, since it uses less digits than its factorization.

400013434122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30375361.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 400013434122001 its reverse (100221434310004), we get a palindrome (500234868432005).

The spelling of 400013434122001 in words is "four hundred trillion, thirteen billion, four hundred thirty-four million, one hundred twenty-two thousand, one".