407716971912 has 192 divisors, whose sum is σ = 1162916352000. Its totient is φ = 128869977600.

The previous prime is 407716971911. The next prime is 407716971917. The reversal of 407716971912 is 219179617704.

It is a happy number.

407716971912 is a `hidden beast` number, since 407 + 7 + 169 + 71 + 9 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (407716971911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31499362 + ... + 31512302.

It is an arithmetic number, because the mean of its divisors is an integer number (6056856000).

Almost surely, 2^407716971912 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 407716971912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581458176000).

407716971912 is an abundant number, since it is smaller than the sum of its proper divisors (755199380088).

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

407716971912 is a wasteful number, since it uses less digits than its factorization.

407716971912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13245 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 407716971912 in words is "four hundred seven billion, seven hundred sixteen million, nine hundred seventy-one thousand, nine hundred twelve".