405675365273600 has 936 divisors, whose sum is σ = 1158609711777120. Its totient is φ = 140008410316800.

The previous prime is 405675365273599. The next prime is 405675365273603. The reversal of 405675365273600 is 6372563576504.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 405675365273600.

It is not an unprimeable number, because it can be changed into a prime (405675365273603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31785260819 + ... + 31785273581.

Almost surely, 2^{405675365273600} is an apocalyptic number.

405675365273600 is a gapful number since it is divisible by the number (40) 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 405675365273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579304855888560).

405675365273600 is an abundant number, since it is smaller than the sum of its proper divisors (752934346503520).

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

405675365273600 is a wasteful number, since it uses less digits than its factorization.

405675365273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 59.

The spelling of 405675365273600 in words is "four hundred five trillion, six hundred seventy-five billion, three hundred sixty-five million, two hundred seventy-three thousand, six hundred".