41369369760 has 288 divisors, whose sum is σ = 148596057792. Its totient is φ = 10866493440.

The previous prime is 41369369753. The next prime is 41369369777. The reversal of 41369369760 is 6796396314.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41369369760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41369369697 and 41369369706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2597020 + ... + 2612900.

It is an arithmetic number, because the mean of its divisors is an integer number (515958534).

Almost surely, 2^41369369760 is an apocalyptic number.

41369369760 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 41369369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74298028896).

41369369760 is an abundant number, since it is smaller than the sum of its proper divisors (107226688032).

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

41369369760 is a wasteful number, since it uses less digits than its factorization.

41369369760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15978 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 41369369760 in words is "forty-one billion, three hundred sixty-nine million, three hundred sixty-nine thousand, seven hundred sixty".