405633105280 has 256 divisors, whose sum is σ = 1084078195200. Its totient is φ = 144123494400.

The previous prime is 405633105277. The next prime is 405633105299. The reversal of 405633105280 is 82501336504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46679176 + ... + 46687864.

It is an arithmetic number, because the mean of its divisors is an integer number (4234680450).

Almost surely, 2^405633105280 is an apocalyptic number.

405633105280 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 405633105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542039097600).

405633105280 is an abundant number, since it is smaller than the sum of its proper divisors (678445089920).

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

405633105280 is a wasteful number, since it uses less digits than its factorization.

405633105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 405633105280 in words is "four hundred five billion, six hundred thirty-three million, one hundred five thousand, two hundred eighty".