41144562650256 has 320 divisors, whose sum is σ = 122497531656192. Its totient is φ = 11801043910656.

The previous prime is 41144562650251. The next prime is 41144562650263. The reversal of 41144562650256 is 65205626544114.

It is a junction number, because it is equal to n+sod(n) for n = 41144562650199 and 41144562650208.

It is not an unprimeable number, because it can be changed into a prime (41144562650251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273316000 + ... + 273466496.

Almost surely, 2^{41144562650256} is an apocalyptic number.

41144562650256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41144562650256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61248765828096).

41144562650256 is an abundant number, since it is smaller than the sum of its proper divisors (81352969005936).

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

41144562650256 is a wasteful number, since it uses less digits than its factorization.

41144562650256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151030 (or 151024 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 41144562650256 in words is "forty-one trillion, one hundred forty-four billion, five hundred sixty-two million, six hundred fifty thousand, two hundred fifty-six".