407668041660 has 192 divisors, whose sum is σ = 1288975564800. Its totient is φ = 95399700480.

The previous prime is 407668041631. The next prime is 407668041727. The reversal of 407668041660 is 66140866704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3035616 + ... + 3167064.

It is an arithmetic number, because the mean of its divisors is an integer number (6713414400).

Almost surely, 2^407668041660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407668041660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644487782400).

407668041660 is an abundant number, since it is smaller than the sum of its proper divisors (881307523140).

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

407668041660 is a wasteful number, since it uses less digits than its factorization.

407668041660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131636 (or 131634 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 407668041660 in words is "four hundred seven billion, six hundred sixty-eight million, forty-one thousand, six hundred sixty".