41220361728 has 960 divisors, whose sum is σ = 158829834240. Its totient is φ = 10450944000.

The previous prime is 41220361687. The next prime is 41220361729. The reversal of 41220361728 is 82716302214.

It is a happy number.

41220361728 is a `hidden beast` number, since 4 + 1 + 220 + 361 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41220361692 and 41220361701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41220361729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272982453 + ... + 272982603.

It is an arithmetic number, because the mean of its divisors is an integer number (165447744).

Almost surely, 2^41220361728 is an apocalyptic number.

41220361728 is a gapful number since it is divisible by the number (48) 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 41220361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79414917120).

41220361728 is an abundant number, since it is smaller than the sum of its proper divisors (117609472512).

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

41220361728 is a wasteful number, since it uses less digits than its factorization.

41220361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41220361728 in words is "forty-one billion, two hundred twenty million, three hundred sixty-one thousand, seven hundred twenty-eight".