41728588290832 has 120 divisors (see below), whose sum is σ = 84696057621000. Its totient is φ = 19909146636288.

The previous prime is 41728588290787. The next prime is 41728588290839. The reversal of 41728588290832 is 23809288582714.

It can be written as a sum of positive squares in 12 ways, for example, as 5084646167056 + 36643942123776 = 2254916^2 + 6053424^2 .

It is a super-2 number, since 2×41728588290832² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41728588290839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3539614794 + ... + 3539626582.

It is an arithmetic number, because the mean of its divisors is an integer number (705800480175).

Almost surely, 2^{41728588290832} is an apocalyptic number.

It is an amenable number.

41728588290832 is an abundant number, since it is smaller than the sum of its proper divisors (42967469330168).

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

41728588290832 is a wasteful number, since it uses less digits than its factorization.

41728588290832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14973 (or 14930 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 41728588290832 in words is "forty-one trillion, seven hundred twenty-eight billion, five hundred eighty-eight million, two hundred ninety thousand, eight hundred thirty-two".