41565160432264 has 256 divisors, whose sum is σ = 98347868236800. Its totient is φ = 16057294848000.

The previous prime is 41565160432259. The next prime is 41565160432277. The reversal of 41565160432264 is 46223406156514.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2003805877 + ... + 2003826619.

It is an arithmetic number, because the mean of its divisors is an integer number (384171360300).

Almost surely, 2^{41565160432264} 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 41565160432264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49173934118400).

41565160432264 is an abundant number, since it is smaller than the sum of its proper divisors (56782707804536).

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

41565160432264 is a wasteful number, since it uses less digits than its factorization.

41565160432264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21384 (or 21380 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

Adding to 41565160432264 its reverse (46223406156514), we get a palindrome (87788566588778).

The spelling of 41565160432264 in words is "forty-one trillion, five hundred sixty-five billion, one hundred sixty million, four hundred thirty-two thousand, two hundred sixty-four".