405537587490 has 96 divisors (see below), whose sum is σ = 1125898736256. Its totient is φ = 91577180160.

The previous prime is 405537587479. The next prime is 405537587513. The reversal of 405537587490 is 94785735504.

It is a self number, because there is not a number n which added to its sum of digits gives 405537587490.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306530 + ... + 1586850.

It is an arithmetic number, because the mean of its divisors is an integer number (11728111836).

Almost surely, 2^405537587490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405537587490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562949368128).

405537587490 is an abundant number, since it is smaller than the sum of its proper divisors (720361148766).

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

405537587490 is a wasteful number, since it uses less digits than its factorization.

405537587490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280504 (or 280421 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 405537587490 in words is "four hundred five billion, five hundred thirty-seven million, five hundred eighty-seven thousand, four hundred ninety".