405141607731540 has 96 divisors (see below), whose sum is σ = 1147591196720640. Its totient is φ = 106782073998336.

The previous prime is 405141607731467. The next prime is 405141607731583. The reversal of 405141607731540 is 45137706141504.

It is a self number, because there is not a number n which added to its sum of digits gives 405141607731540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181212 + ... + 28489971.

It is an arithmetic number, because the mean of its divisors is an integer number (11954074965840).

Almost surely, 2^{405141607731540} 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 405141607731540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573795598360320).

405141607731540 is an abundant number, since it is smaller than the sum of its proper divisors (742449588989100).

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

405141607731540 is a wasteful number, since it uses less digits than its factorization.

405141607731540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29673841 (or 29673839 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 405141607731540 in words is "four hundred five trillion, one hundred forty-one billion, six hundred seven million, seven hundred thirty-one thousand, five hundred forty".