405584939340 has 480 divisors, whose sum is σ = 1519671121920. Its totient is φ = 89705750400.

The previous prime is 405584939339. The next prime is 405584939359. The reversal of 405584939340 is 43939485504.

405584939340 is a `hidden beast` number, since 4 + 0 + 558 + 49 + 3 + 9 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40187695 + ... + 40197785.

It is an arithmetic number, because the mean of its divisors is an integer number (3165981504).

Almost surely, 2^405584939340 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 405584939340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759835560960).

405584939340 is an abundant number, since it is smaller than the sum of its proper divisors (1114086182580).

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

405584939340 is a wasteful number, since it uses less digits than its factorization.

405584939340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10168 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 405584939340 in words is "four hundred five billion, five hundred eighty-four million, nine hundred thirty-nine thousand, three hundred forty".