41627793706464 has 384 divisors, whose sum is σ = 128056679654400. Its totient is φ = 11835473836032.

The previous prime is 41627793706427. The next prime is 41627793706489. The reversal of 41627793706464 is 46460739772614.

It is a junction number, because it is equal to n+sod(n) for n = 41627793706395 and 41627793706404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7948783654 + ... + 7948788890.

It is an arithmetic number, because the mean of its divisors is an integer number (333480936600).

Almost surely, 2^{41627793706464} 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 41627793706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64028339827200).

41627793706464 is an abundant number, since it is smaller than the sum of its proper divisors (86428885947936).

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

41627793706464 is a wasteful number, since it uses less digits than its factorization.

41627793706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 66.

The spelling of 41627793706464 in words is "forty-one trillion, six hundred twenty-seven billion, seven hundred ninety-three million, seven hundred six thousand, four hundred sixty-four".