404212344120431 has 64 divisors (see below), whose sum is σ = 508674048000000. Its totient is φ = 312027747333120.

The previous prime is 404212344120391. The next prime is 404212344120521. The reversal of 404212344120431 is 134021443212404.

It is not a de Polignac number, because 404212344120431 - 2²² = 404212339926127 is a prime.

It is a super-2 number, since 2×404212344120431² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404212344120391 and 404212344120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404212344120731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19285849730 + ... + 19285870688.

It is an arithmetic number, because the mean of its divisors is an integer number (7948032000000).

Almost surely, 2^{404212344120431} is an apocalyptic number.

404212344120431 is a deficient number, since it is larger than the sum of its proper divisors (104461703879569).

404212344120431 is a wasteful number, since it uses less digits than its factorization.

404212344120431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 404212344120431 its reverse (134021443212404), we get a palindrome (538233787332835).

The spelling of 404212344120431 in words is "four hundred four trillion, two hundred twelve billion, three hundred forty-four million, one hundred twenty thousand, four hundred thirty-one".