406644384706560 has 2496 divisors, whose sum is σ = 1962630868423680. Its totient is φ = 77996768624640.

The previous prime is 406644384706541. The next prime is 406644384706577. The reversal of 406644384706560 is 65607483446604.

406644384706560 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 4 + 43 + 8 + 470 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×406644384706560² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4981575826 + ... + 4981657454.

It is an arithmetic number, because the mean of its divisors is an integer number (786310444080).

Almost surely, 2^{406644384706560} is an apocalyptic number.

406644384706560 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 406644384706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981315434211840).

406644384706560 is an abundant number, since it is smaller than the sum of its proper divisors (1555986483717120).

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

406644384706560 is a wasteful number, since it uses less digits than its factorization.

406644384706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81704 (or 81670 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 406644384706560 in words is "four hundred six trillion, six hundred forty-four billion, three hundred eighty-four million, seven hundred six thousand, five hundred sixty".