41435460124820 has 96 divisors (see below), whose sum is σ = 93735403977600. Its totient is φ = 15334877505024.

The previous prime is 41435460124819. The next prime is 41435460124823. The reversal of 41435460124820 is 2842106453414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41435460124823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141505202 + ... + 141797718.

It is an arithmetic number, because the mean of its divisors is an integer number (976410458100).

Almost surely, 2^{41435460124820} 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 41435460124820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46867701988800).

41435460124820 is an abundant number, since it is smaller than the sum of its proper divisors (52299943852780).

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

41435460124820 is a wasteful number, since it uses less digits than its factorization.

41435460124820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301257 (or 301255 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 41435460124820 in words is "forty-one trillion, four hundred thirty-five billion, four hundred sixty million, one hundred twenty-four thousand, eight hundred twenty".