41424374562624 has 896 divisors, whose sum is σ = 132531892416000. Its totient is φ = 12660970291200.

The previous prime is 41424374562583. The next prime is 41424374562629. The reversal of 41424374562624 is 42626547342414.

41424374562624 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 4 + 3 + 7 + 4 + 5 + 6 + 2 + 624 = 666.

41424374562624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41424374562624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424374562629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11698494294 + ... + 11698497834.

It is an arithmetic number, because the mean of its divisors is an integer number (147915058500).

Almost surely, 2^{41424374562624} 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 41424374562624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66265946208000).

41424374562624 is an abundant number, since it is smaller than the sum of its proper divisors (91107517853376).

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

41424374562624 is a wasteful number, since it uses less digits than its factorization.

41424374562624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3768 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 54.

The spelling of 41424374562624 in words is "forty-one trillion, four hundred twenty-four billion, three hundred seventy-four million, five hundred sixty-two thousand, six hundred twenty-four".