401444131413211 has 32 divisors (see below), whose sum is σ = 418582608208128. Its totient is φ = 384723738524160.

The previous prime is 401444131413209. The next prime is 401444131413251. The reversal of 401444131413211 is 112314131444104.

It is a cyclic number.

It is not a de Polignac number, because 401444131413211 - 2¹ = 401444131413209 is a prime.

It is a super-2 number, since 2×401444131413211² (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 (401444131413251) 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, 530321556 + ... + 531077998.

It is an arithmetic number, because the mean of its divisors is an integer number (13080706506504).

Almost surely, 2^{401444131413211} is an apocalyptic number.

401444131413211 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

401444131413211 is a deficient number, since it is larger than the sum of its proper divisors (17138476794917).

401444131413211 is a wasteful number, since it uses less digits than its factorization.

401444131413211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757611.

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 401444131413211 its reverse (112314131444104), we get a palindrome (513758262857315).

The spelling of 401444131413211 in words is "four hundred one trillion, four hundred forty-four billion, one hundred thirty-one million, four hundred thirteen thousand, two hundred eleven".