41364429347072 has 72 divisors (see below), whose sum is σ = 88920922721400. Its totient is φ = 19090778112000.

The previous prime is 41364429347057. The next prime is 41364429347107. The reversal of 41364429347072 is 27074392446314.

It can be written as a sum of positive squares in 4 ways, for example, as 2520422957056 + 38844006390016 = 1587584^2 + 6232496^2 .

It is a super-2 number, since 2×41364429347072² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41364429346999 and 41364429347017.

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 7 ways as a sum of consecutive naturals, for example, 148119572 + ... + 148398572.

It is an arithmetic number, because the mean of its divisors is an integer number (1235012815575).

Almost surely, 2^{41364429347072} is an apocalyptic number.

It is an amenable number.

41364429347072 is an abundant number, since it is smaller than the sum of its proper divisors (47556493374328).

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

41364429347072 is a wasteful number, since it uses less digits than its factorization.

41364429347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323579 (or 323565 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 56.

The spelling of 41364429347072 in words is "forty-one trillion, three hundred sixty-four billion, four hundred twenty-nine million, three hundred forty-seven thousand, seventy-two".