41412960864 has 72 divisors (see below), whose sum is σ = 128474308872. Its totient is φ = 12549381120.

The previous prime is 41412960821. The next prime is 41412960917. The reversal of 41412960864 is 46806921414.

41412960864 is a `hidden beast` number, since 4 + 14 + 1 + 29 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6532969 + ... + 6539304.

It is an arithmetic number, because the mean of its divisors is an integer number (1784365401).

Almost surely, 2^41412960864 is an apocalyptic number.

41412960864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41412960864 is an abundant number, since it is smaller than the sum of its proper divisors (87061348008).

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

41412960864 is a wasteful number, since it uses less digits than its factorization.

41412960864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072300 (or 13072289 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41412960864 in words is "forty-one billion, four hundred twelve million, nine hundred sixty thousand, eight hundred sixty-four".