412734494016 has 672 divisors, whose sum is σ = 1427011762176. Its totient is φ = 112803840000.

The previous prime is 412734493981. The next prime is 412734494017. The reversal of 412734494016 is 610494437214.

412734494016 is a `hidden beast` number, since 4 + 127 + 34 + 494 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412734494017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161791941 + ... + 161794491.

It is an arithmetic number, because the mean of its divisors is an integer number (2123529408).

Almost surely, 2^412734494016 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 412734494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713505881088).

412734494016 is an abundant number, since it is smaller than the sum of its proper divisors (1014277268160).

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

412734494016 is a wasteful number, since it uses less digits than its factorization.

412734494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 412734494016 in words is "four hundred twelve billion, seven hundred thirty-four million, four hundred ninety-four thousand, sixteen".