408426634062216 has 192 divisors, whose sum is σ = 1379142029491200. Its totient is φ = 106081831612800.

The previous prime is 408426634062199. The next prime is 408426634062217. The reversal of 408426634062216 is 612260436624804.

408426634062216 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 2 + 6 + 6 + 3 + 4 + 0 + 622 + 1 + 6 = 666.

It is a super-2 number, since 2×408426634062216² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408426634062217) 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, 197886531 + ... + 199939821.

It is an arithmetic number, because the mean of its divisors is an integer number (7183031403600).

Almost surely, 2^{408426634062216} is an apocalyptic number.

It is an amenable number.

408426634062216 is an abundant number, since it is smaller than the sum of its proper divisors (970715395428984).

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

408426634062216 is a wasteful number, since it uses less digits than its factorization.

408426634062216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089200 (or 2089193 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 408426634062216 in words is "four hundred eight trillion, four hundred twenty-six billion, six hundred thirty-four million, sixty-two thousand, two hundred sixteen".