406204320635160 has 256 divisors, whose sum is σ = 1277338218624000. Its totient is φ = 103143797729280.

The previous prime is 406204320635131. The next prime is 406204320635167. The reversal of 406204320635160 is 61536023402604.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406204320635167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4619536395 + ... + 4619624325.

It is an arithmetic number, because the mean of its divisors is an integer number (4989602416500).

Almost surely, 2^{406204320635160} is an apocalyptic number.

406204320635160 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 406204320635160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638669109312000).

406204320635160 is an abundant number, since it is smaller than the sum of its proper divisors (871133897988840).

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

406204320635160 is a wasteful number, since it uses less digits than its factorization.

406204320635160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95506 (or 95502 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 406204320635160 in words is "four hundred six trillion, two hundred four billion, three hundred twenty million, six hundred thirty-five thousand, one hundred sixty".