406949433776860 has 192 divisors, whose sum is σ = 929691391837824. Its totient is φ = 148738357555200.

The previous prime is 406949433776839. The next prime is 406949433776947. The reversal of 406949433776860 is 68677334949604.

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, 61094341930 + ... + 61094348590.

It is an arithmetic number, because the mean of its divisors is an integer number (4842142665822).

Almost surely, 2^{406949433776860} 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 406949433776860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464845695918912).

406949433776860 is an abundant number, since it is smaller than the sum of its proper divisors (522741958060964).

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

406949433776860 is a wasteful number, since it uses less digits than its factorization.

406949433776860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 76.

The spelling of 406949433776860 in words is "four hundred six trillion, nine hundred forty-nine billion, four hundred thirty-three million, seven hundred seventy-six thousand, eight hundred sixty".