41026348160 has 128 divisors (see below), whose sum is σ = 114697123200. Its totient is φ = 13738991616.

The previous prime is 41026348127. The next prime is 41026348163. The reversal of 41026348160 is 6184362014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×41026348160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 41026348160.

It is not an unprimeable number, because it can be changed into a prime (41026348163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86156 + ... + 299124.

It is an arithmetic number, because the mean of its divisors is an integer number (896071275).

Almost surely, 2^41026348160 is an apocalyptic number.

41026348160 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 41026348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57348561600).

41026348160 is an abundant number, since it is smaller than the sum of its proper divisors (73670775040).

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

41026348160 is a wasteful number, since it uses less digits than its factorization.

41026348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213038 (or 213026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 41026348160 in words is "forty-one billion, twenty-six million, three hundred forty-eight thousand, one hundred sixty".