405532080000 has 480 divisors, whose sum is σ = 1505356881600. Its totient is φ = 104647680000.

The previous prime is 405532079959. The next prime is 405532080017. The reversal of 405532080000 is 80235504.

405532080000 is a `hidden beast` number, since 405 + 53 + 208 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22310916 + ... + 22329084.

It is an arithmetic number, because the mean of its divisors is an integer number (3136160170).

Almost surely, 2^405532080000 is an apocalyptic number.

405532080000 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 405532080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752678440800).

405532080000 is an abundant number, since it is smaller than the sum of its proper divisors (1099824801600).

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

405532080000 is a wasteful number, since it uses less digits than its factorization.

405532080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240 (or 18210 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

It can be divided in two parts, 4055 and 32080000, that added together give a triangular number (32084055 = T₈₀₁₀).

The spelling of 405532080000 in words is "four hundred five billion, five hundred thirty-two million, eighty thousand".