405550477696 has 512 divisors, whose sum is σ = 1080911462400. Its totient is φ = 147107487744.

The previous prime is 405550477681. The next prime is 405550477721. The reversal of 405550477696 is 696774055504.

It is a self number, because there is not a number n which added to its sum of digits gives 405550477696.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1321011175 + ... + 1321011481.

It is an arithmetic number, because the mean of its divisors is an integer number (2111155200).

Almost surely, 2^405550477696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405550477696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540455731200).

405550477696 is an abundant number, since it is smaller than the sum of its proper divisors (675360984704).

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

405550477696 is a wasteful number, since it uses less digits than its factorization.

405550477696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 58.

The spelling of 405550477696 in words is "four hundred five billion, five hundred fifty million, four hundred seventy-seven thousand, six hundred ninety-six".