41551223648256 has 312 divisors, whose sum is σ = 145236981842784. Its totient is φ = 11173437112320.

The previous prime is 41551223648213. The next prime is 41551223648261. The reversal of 41551223648256 is 65284632215514.

41551223648256 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 1 + 22 + 364 + 8 + 256 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349105 + ... + 9122736.

It is an arithmetic number, because the mean of its divisors is an integer number (465503146932).

Almost surely, 2^{41551223648256} 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 41551223648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72618490921392).

41551223648256 is an abundant number, since it is smaller than the sum of its proper divisors (103685758194528).

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

41551223648256 is a wasteful number, since it uses less digits than its factorization.

41551223648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471895 (or 9471870 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 41551223648256 in words is "forty-one trillion, five hundred fifty-one billion, two hundred twenty-three million, six hundred forty-eight thousand, two hundred fifty-six".