41206586164704 has 960 divisors, whose sum is σ = 129083554575360. Its totient is φ = 12880788480000.

The previous prime is 41206586164661. The next prime is 41206586164747. The reversal of 41206586164704 is 40746168560214.

41206586164704 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 6 + 586 + 16 + 47 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41206586164661) and next prime (41206586164747).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67221184302 + ... + 67221184914.

It is an arithmetic number, because the mean of its divisors is an integer number (134462036016).

Almost surely, 2^{41206586164704} 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 41206586164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64541777287680).

41206586164704 is an abundant number, since it is smaller than the sum of its proper divisors (87876968410656).

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

41206586164704 is a wasteful number, since it uses less digits than its factorization.

41206586164704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 41206586164704 in words is "forty-one trillion, two hundred six billion, five hundred eighty-six million, one hundred sixty-four thousand, seven hundred four".