406417330420860 has 384 divisors, whose sum is σ = 1265221425807360. Its totient is φ = 96654554035200.

The previous prime is 406417330420841. The next prime is 406417330420861. The reversal of 406417330420860 is 68024033714604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406417330420861) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7685771901 + ... + 7685824779.

It is an arithmetic number, because the mean of its divisors is an integer number (3294847463040).

Almost surely, 2^{406417330420860} 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 406417330420860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632610712903680).

406417330420860 is an abundant number, since it is smaller than the sum of its proper divisors (858804095386500).

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

406417330420860 is a wasteful number, since it uses less digits than its factorization.

406417330420860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53969 (or 53967 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 406417330420860 in words is "four hundred six trillion, four hundred seventeen billion, three hundred thirty million, four hundred twenty thousand, eight hundred sixty".