412771172616 has 256 divisors, whose sum is σ = 1295753760000. Its totient is φ = 120657715200.

The previous prime is 412771172609. The next prime is 412771172617. The reversal of 412771172616 is 616271177214.

412771172616 is a `hidden beast` number, since 4 + 1 + 27 + 7 + 1 + 1 + 7 + 2 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (412771172617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8646220 + ... + 8693828.

It is an arithmetic number, because the mean of its divisors is an integer number (5061538125).

Almost surely, 2^412771172616 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 412771172616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647876880000).

412771172616 is an abundant number, since it is smaller than the sum of its proper divisors (882982587384).

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

412771172616 is a wasteful number, since it uses less digits than its factorization.

412771172616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47765 (or 47755 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 412771172616 in words is "four hundred twelve billion, seven hundred seventy-one million, one hundred seventy-two thousand, six hundred sixteen".