412581752064 has 288 divisors, whose sum is σ = 1290826880000. Its totient is φ = 129626044416.

The previous prime is 412581752039. The next prime is 412581752071. The reversal of 412581752064 is 460257185214.

412581752064 is a `hidden beast` number, since 4 + 1 + 2 + 58 + 17 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26126379 + ... + 26142165.

Almost surely, 2^412581752064 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 412581752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645413440000).

412581752064 is an abundant number, since it is smaller than the sum of its proper divisors (878245127936).

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

412581752064 is a wasteful number, since it uses less digits than its factorization.

412581752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16030 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 412581752064 in words is "four hundred twelve billion, five hundred eighty-one million, seven hundred fifty-two thousand, sixty-four".