406530820200960 has 5760 divisors, whose sum is σ = 1974853063814400. Its totient is φ = 78681766625280.

The previous prime is 406530820200931. The next prime is 406530820200961. The reversal of 406530820200960 is 69002028035604.

406530820200960 is a `hidden beast` number, since 4 + 0 + 6 + 530 + 8 + 2 + 0 + 20 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (406530820200961) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 398950755331 + ... + 398950756349.

It is an arithmetic number, because the mean of its divisors is an integer number (342856434690).

Almost surely, 2^{406530820200960} is an apocalyptic number.

406530820200960 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 406530820200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987426531907200).

406530820200960 is an abundant number, since it is smaller than the sum of its proper divisors (1568322243613440).

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

406530820200960 is a wasteful number, since it uses less digits than its factorization.

406530820200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 406530820200960 in words is "four hundred six trillion, five hundred thirty billion, eight hundred twenty million, two hundred thousand, nine hundred sixty".