407206379822112 has 216 divisors, whose sum is σ = 1254113438022900. Its totient is φ = 125275098783744.

The previous prime is 407206379822071. The next prime is 407206379822113. The reversal of 407206379822112 is 211228973602704.

407206379822112 is a `hidden beast` number, since 40 + 7 + 2 + 0 + 6 + 379 + 8 + 221 + 1 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 283894327498896 + 123312052323216 = 16849164^2 + 11104596^2 .

It is not an unprimeable number, because it can be changed into a prime (407206379822113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319089564 + ... + 320363172.

Almost surely, 2^{407206379822112} 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 407206379822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056719011450).

407206379822112 is an abundant number, since it is smaller than the sum of its proper divisors (846907058200788).

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

407206379822112 is a wasteful number, since it uses less digits than its factorization.

407206379822112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280220 (or 1280196 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 407206379822112 in words is "four hundred seven trillion, two hundred six billion, three hundred seventy-nine million, eight hundred twenty-two thousand, one hundred twelve".