405535709376 has 1008 divisors, whose sum is σ = 1542041819136. Its totient is φ = 103141859328.

The previous prime is 405535709351. The next prime is 405535709377. The reversal of 405535709376 is 673907535504.

405535709376 is a `hidden beast` number, since 4 + 0 + 5 + 535 + 70 + 9 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405535709377) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 668098065 + ... + 668098671.

It is an arithmetic number, because the mean of its divisors is an integer number (1529803392).

Almost surely, 2^405535709376 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 405535709376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771020909568).

405535709376 is an abundant number, since it is smaller than the sum of its proper divisors (1136506109760).

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

405535709376 is a wasteful number, since it uses less digits than its factorization.

405535709376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 405535709376 in words is "four hundred five billion, five hundred thirty-five million, seven hundred nine thousand, three hundred seventy-six".