405985536000 has 1152 divisors, whose sum is σ = 1623992872320. Its totient is φ = 96731136000.

The previous prime is 405985535993. The next prime is 405985536017. The reversal of 405985536000 is 635589504.

405985536000 is a `hidden beast` number, since 4 + 0 + 5 + 98 + 553 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103551904 + ... + 2103552096.

It is an arithmetic number, because the mean of its divisors is an integer number (1409716035).

Almost surely, 2^405985536000 is an apocalyptic number.

405985536000 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 405985536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811996436160).

405985536000 is an abundant number, since it is smaller than the sum of its proper divisors (1218007336320).

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

405985536000 is a wasteful number, since it uses less digits than its factorization.

405985536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 405985536000 in words is "four hundred five billion, nine hundred eighty-five million, five hundred thirty-six thousand".