405213112144 has 80 divisors (see below), whose sum is σ = 830962707840. Its totient is φ = 191136960000.

The previous prime is 405213112133. The next prime is 405213112151. The reversal of 405213112144 is 441211312504.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4226499 + ... + 4321309.

It is an arithmetic number, because the mean of its divisors is an integer number (10387033848).

Almost surely, 2^405213112144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405213112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415481353920).

405213112144 is an abundant number, since it is smaller than the sum of its proper divisors (425749595696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405213112144 is a wasteful number, since it uses less digits than its factorization.

405213112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95060 (or 95054 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 405213112144 its reverse (441211312504), we get a palindrome (846424424648).

The spelling of 405213112144 in words is "four hundred five billion, two hundred thirteen million, one hundred twelve thousand, one hundred forty-four".