41301345053040 has 320 divisors, whose sum is σ = 134730988664832. Its totient is φ = 10445900185600.

The previous prime is 41301345053027. The next prime is 41301345053053. The reversal of 41301345053040 is 4035054310314.

It is an interprime number because it is at equal distance from previous prime (41301345053027) and next prime (41301345053053).

It is a super-2 number, since 2×41301345053040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41301345052992 and 41301345053010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666216445 + ... + 666278435.

Almost surely, 2^{41301345053040} is an apocalyptic number.

41301345053040 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 41301345053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67365494332416).

41301345053040 is an abundant number, since it is smaller than the sum of its proper divisors (93429643611792).

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

41301345053040 is a wasteful number, since it uses less digits than its factorization.

41301345053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63048 (or 63042 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 41301345053040 its reverse (4035054310314), we get a palindrome (45336399363354).

The spelling of 41301345053040 in words is "forty-one trillion, three hundred one billion, three hundred forty-five million, fifty-three thousand, forty".