405085943808 has 1152 divisors, whose sum is σ = 1565686886400. Its totient is φ = 100759044096.

The previous prime is 405085943807. The next prime is 405085943837. The reversal of 405085943808 is 808349580504.

405085943808 is a `hidden beast` number, since 4 + 0 + 508 + 59 + 4 + 3 + 80 + 8 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405085943807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1816528785 + ... + 1816529007.

It is an arithmetic number, because the mean of its divisors is an integer number (1359103200).

Almost surely, 2^405085943808 is an apocalyptic number.

405085943808 is a gapful number since it is divisible by the number (48) 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 405085943808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782843443200).

405085943808 is an abundant number, since it is smaller than the sum of its proper divisors (1160600942592).

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

405085943808 is a wasteful number, since it uses less digits than its factorization.

405085943808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 405085943808 in words is "four hundred five billion, eighty-five million, nine hundred forty-three thousand, eight hundred eight".