405421287928944 has 960 divisors, whose sum is σ = 1339885464698880. Its totient is φ = 103135584614400.

The previous prime is 405421287928939. The next prime is 405421287928961. The reversal of 405421287928944 is 449829782124504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37773337402 + ... + 37773348134.

It is an arithmetic number, because the mean of its divisors is an integer number (1395714025728).

Almost surely, 2^{405421287928944} 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 405421287928944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669942732349440).

405421287928944 is an abundant number, since it is smaller than the sum of its proper divisors (934464176769936).

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

405421287928944 is a wasteful number, since it uses less digits than its factorization.

405421287928944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 405421287928944 in words is "four hundred five trillion, four hundred twenty-one billion, two hundred eighty-seven million, nine hundred twenty-eight thousand, nine hundred forty-four".