406654851680 has 192 divisors, whose sum is σ = 1199095736832. Its totient is φ = 126610698240.

The previous prime is 406654851677. The next prime is 406654851709. The reversal of 406654851680 is 86158456604.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11526227 + ... + 11561453.

It is an arithmetic number, because the mean of its divisors is an integer number (6245290296).

Almost surely, 2^406654851680 is an apocalyptic number.

406654851680 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 406654851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599547868416).

406654851680 is an abundant number, since it is smaller than the sum of its proper divisors (792440885152).

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

406654851680 is a wasteful number, since it uses less digits than its factorization.

406654851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36197 (or 36189 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 406654851680 in words is "four hundred six billion, six hundred fifty-four million, eight hundred fifty-one thousand, six hundred eighty".