41265313600 has 168 divisors, whose sum is σ = 117680646528. Its totient is φ = 13948569600.

The previous prime is 41265313591. The next prime is 41265313627. The reversal of 41265313600 is 631356214.

41265313600 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 2×41265313600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769254 + ... + 821146.

Almost surely, 2^41265313600 is an apocalyptic number.

41265313600 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 41265313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58840323264).

41265313600 is an abundant number, since it is smaller than the sum of its proper divisors (76415332928).

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

41265313600 is a wasteful number, since it uses less digits than its factorization.

41265313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51993 (or 51978 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 41265313600 its reverse (631356214), we get a palindrome (41896669814).

The spelling of 41265313600 in words is "forty-one billion, two hundred sixty-five million, three hundred thirteen thousand, six hundred".