405213017472 has 256 divisors, whose sum is σ = 1219429094400. Its totient is φ = 132432537600.

The previous prime is 405213017449. The next prime is 405213017507. The reversal of 405213017472 is 274710312504.

405213017472 is a `hidden beast` number, since 4 + 0 + 52 + 130 + 1 + 7 + 472 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 69777193 + ... + 69782999.

It is an arithmetic number, because the mean of its divisors is an integer number (4763394900).

Almost surely, 2^405213017472 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 405213017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609714547200).

405213017472 is an abundant number, since it is smaller than the sum of its proper divisors (814216076928).

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

405213017472 is a wasteful number, since it uses less digits than its factorization.

405213017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 405213017472 its reverse (274710312504), we get a palindrome (679923329976).

The spelling of 405213017472 in words is "four hundred five billion, two hundred thirteen million, seventeen thousand, four hundred seventy-two".