406307542212 has 216 divisors, whose sum is σ = 1216741991192. Its totient is φ = 113559874560.

The previous prime is 406307542183. The next prime is 406307542217. The reversal of 406307542212 is 212245703604.

406307542212 is a `hidden beast` number, since 4 + 0 + 630 + 7 + 5 + 4 + 2 + 2 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9528492996 + 396779049216 = 97614^2 + 629904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406307542217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99266838 + ... + 99270930.

Almost surely, 2^406307542212 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 406307542212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608370995596).

406307542212 is an abundant number, since it is smaller than the sum of its proper divisors (810434448980).

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

406307542212 is a wasteful number, since it uses less digits than its factorization.

406307542212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 406307542212 in words is "four hundred six billion, three hundred seven million, five hundred forty-two thousand, two hundred twelve".