41145425202024 has 256 divisors, whose sum is σ = 134547635174400. Its totient is φ = 11485765267200.

The previous prime is 41145425201999. The next prime is 41145425202107. The reversal of 41145425202024 is 42020252454114.

41145425202024 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 5 + 425 + 20 + 202 + 4 = 666.

41145425202024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41145425202024.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13809507 + ... + 16522509.

It is an arithmetic number, because the mean of its divisors is an integer number (525576699900).

Almost surely, 2^{41145425202024} is an apocalyptic number.

41145425202024 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 41145425202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67273817587200).

41145425202024 is an abundant number, since it is smaller than the sum of its proper divisors (93402209972376).

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

41145425202024 is a wasteful number, since it uses less digits than its factorization.

41145425202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713533 (or 2713523 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 41145425202024 its reverse (42020252454114), we get a palindrome (83165677656138).

The spelling of 41145425202024 in words is "forty-one trillion, one hundred forty-five billion, four hundred twenty-five million, two hundred two thousand, twenty-four".