405334450080 has 768 divisors, whose sum is σ = 1731303383040. Its totient is φ = 86552395776.

The previous prime is 405334450043. The next prime is 405334450091. The reversal of 405334450080 is 80054433504.

405334450080 is a `hidden beast` number, since 4 + 0 + 5 + 33 + 44 + 500 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29900584 + ... + 29914136.

It is an arithmetic number, because the mean of its divisors is an integer number (2254301280).

Almost surely, 2^405334450080 is an apocalyptic number.

405334450080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405334450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865651691520).

405334450080 is an abundant number, since it is smaller than the sum of its proper divisors (1325968932960).

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

405334450080 is a wasteful number, since it uses less digits than its factorization.

405334450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13650 (or 13636 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 405334450080 its reverse (80054433504), we get a palindrome (485388883584).

The spelling of 405334450080 in words is "four hundred five billion, three hundred thirty-four million, four hundred fifty thousand, eighty".