41362765312 has 320 divisors, whose sum is σ = 100910684160. Its totient is φ = 16721510400.

The previous prime is 41362765307. The next prime is 41362765333. The reversal of 41362765312 is 21356726314.

It is a happy number.

It is a super-3 number, since 3×41362765312³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122738008 + ... + 122738344.

It is an arithmetic number, because the mean of its divisors is an integer number (315345888).

Almost surely, 2^41362765312 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 41362765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455342080).

41362765312 is an abundant number, since it is smaller than the sum of its proper divisors (59547918848).

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

41362765312 is a wasteful number, since it uses less digits than its factorization.

41362765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The spelling of 41362765312 in words is "forty-one billion, three hundred sixty-two million, seven hundred sixty-five thousand, three hundred twelve".