405320902344 has 256 divisors, whose sum is σ = 1193199206400. Its totient is φ = 127220544000.

The previous prime is 405320902333. The next prime is 405320902361. The reversal of 405320902344 is 443209023504.

405320902344 is a `hidden beast` number, since 4 + 0 + 532 + 0 + 90 + 2 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 405320902299 and 405320902308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352146169 + ... + 352147319.

It is an arithmetic number, because the mean of its divisors is an integer number (4660934400).

Almost surely, 2^405320902344 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 405320902344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596599603200).

405320902344 is an abundant number, since it is smaller than the sum of its proper divisors (787878304056).

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

405320902344 is a wasteful number, since it uses less digits than its factorization.

405320902344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 405320902344 its reverse (443209023504), we get a palindrome (848529925848).

The spelling of 405320902344 in words is "four hundred five billion, three hundred twenty million, nine hundred two thousand, three hundred forty-four".