41380709212752 has 480 divisors, whose sum is σ = 143258464121472. Its totient is φ = 10165712191488.

The previous prime is 41380709212729. The next prime is 41380709212813. The reversal of 41380709212752 is 25721290708314.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 41380709212695 and 41380709212704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50009463 + ... + 50830185.

Almost surely, 2^{41380709212752} is an apocalyptic number.

41380709212752 is a gapful number since it is divisible by the number (42) 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 41380709212752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71629232060736).

41380709212752 is an abundant number, since it is smaller than the sum of its proper divisors (101877754908720).

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

41380709212752 is a wasteful number, since it uses less digits than its factorization.

41380709212752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820875 (or 820862 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 41380709212752 in words is "forty-one trillion, three hundred eighty billion, seven hundred nine million, two hundred twelve thousand, seven hundred fifty-two".