41745336887520 has 576 divisors, whose sum is σ = 171850602792960. Its totient is φ = 9039576775680.

The previous prime is 41745336887491. The next prime is 41745336887521. The reversal of 41745336887520 is 2578863354714.

It is a happy number.

41745336887520 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 533 + 6 + 8 + 8 + 75 + 20 = 666.

It is a super-2 number, since 2×41745336887520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41745336887521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68836825 + ... + 69440615.

It is an arithmetic number, because the mean of its divisors is an integer number (298351740960).

Almost surely, 2^{41745336887520} is an apocalyptic number.

41745336887520 is a gapful number since it is divisible by the number (40) 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 41745336887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85925301396480).

41745336887520 is an abundant number, since it is smaller than the sum of its proper divisors (130105265905440).

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

41745336887520 is a wasteful number, since it uses less digits than its factorization.

41745336887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603876 (or 603827 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 41745336887520 in words is "forty-one trillion, seven hundred forty-five billion, three hundred thirty-six million, eight hundred eighty-seven thousand, five hundred twenty".