405810873920 has 112 divisors (see below), whose sum is σ = 1009227230208. Its totient is φ = 155131975680.

The previous prime is 405810873917. The next prime is 405810873947. The reversal of 405810873920 is 29378018504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8668817 + ... + 8715503.

Almost surely, 2^405810873920 is an apocalyptic number.

405810873920 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 405810873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504613615104).

405810873920 is an abundant number, since it is smaller than the sum of its proper divisors (603416356288).

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

405810873920 is a wasteful number, since it uses less digits than its factorization.

405810873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47908 (or 47898 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 405810873920 in words is "four hundred five billion, eight hundred ten million, eight hundred seventy-three thousand, nine hundred twenty".