41226500224 has 384 divisors, whose sum is σ = 108902707200. Its totient is φ = 15119032320.

The previous prime is 41226500209. The next prime is 41226500297. The reversal of 41226500224 is 42200562214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41226500192 and 41226500201.

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, 324618049 + ... + 324618175.

It is an arithmetic number, because the mean of its divisors is an integer number (283600800).

Almost surely, 2^41226500224 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 41226500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54451353600).

41226500224 is an abundant number, since it is smaller than the sum of its proper divisors (67676206976).

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

41226500224 is a wasteful number, since it uses less digits than its factorization.

41226500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 41226500224 in words is "forty-one billion, two hundred twenty-six million, five hundred thousand, two hundred twenty-four".