41022890272 has 288 divisors, whose sum is σ = 107390344320. Its totient is φ = 14979686400.

The previous prime is 41022890269. The next prime is 41022890297. The reversal of 41022890272 is 27209822014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102301272 + ... + 102301672.

It is an arithmetic number, because the mean of its divisors is an integer number (372883140).

Almost surely, 2^41022890272 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 41022890272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53695172160).

41022890272 is an abundant number, since it is smaller than the sum of its proper divisors (66367454048).

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

41022890272 is a wasteful number, since it uses less digits than its factorization.

41022890272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

It can be divided in two parts, 410228 and 90272, that added together give a triangular number (500500 = T₁₀₀₀).

The spelling of 41022890272 in words is "forty-one billion, twenty-two million, eight hundred ninety thousand, two hundred seventy-two".