41620238884224 has 3072 divisors, whose sum is σ = 172813790822400. Its totient is φ = 9268494336000.

The previous prime is 41620238884219. The next prime is 41620238884243. The reversal of 41620238884224 is 42248883202614.

It is a happy number.

41620238884224 is a `hidden beast` number, since 4 + 1 + 6 + 202 + 3 + 8 + 8 + 8 + 422 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 106992901822 + ... + 106992902210.

It is an arithmetic number, because the mean of its divisors is an integer number (56254489200).

Almost surely, 2^{41620238884224} is an apocalyptic number.

41620238884224 is a gapful number since it is divisible by the number (44) 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 41620238884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86406895411200).

41620238884224 is an abundant number, since it is smaller than the sum of its proper divisors (131193551938176).

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

41620238884224 is a wasteful number, since it uses less digits than its factorization.

41620238884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 41620238884224 in words is "forty-one trillion, six hundred twenty billion, two hundred thirty-eight million, eight hundred eighty-four thousand, two hundred twenty-four".