405799604324352 has 4608 divisors, whose sum is σ = 1645631769600000. Its totient is φ = 97760638402560.

The previous prime is 405799604324341. The next prime is 405799604324357. The reversal of 405799604324352 is 253423406997504.

405799604324352 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 99 + 60 + 432 + 4 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 405799604324352.

It is not an unprimeable number, because it can be changed into a prime (405799604324357) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1497415513977 + ... + 1497415514247.

It is an arithmetic number, because the mean of its divisors is an integer number (357124950000).

Almost surely, 2^{405799604324352} is an apocalyptic number.

405799604324352 is a gapful number since it is divisible by the number (42) 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 405799604324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822815884800000).

405799604324352 is an abundant number, since it is smaller than the sum of its proper divisors (1239832165275648).

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

405799604324352 is a wasteful number, since it uses less digits than its factorization.

405799604324352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 405799604324352 in words is "four hundred five trillion, seven hundred ninety-nine billion, six hundred four million, three hundred twenty-four thousand, three hundred fifty-two".