41202274128288 has 288 divisors, whose sum is σ = 135504023788224. Its totient is φ = 10865577074688.

The previous prime is 41202274128269. The next prime is 41202274128313. The reversal of 41202274128288 is 88282147220214.

It is a self number, because there is not a number n which added to its sum of digits gives 41202274128288.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936031656 + ... + 936075672.

It is an arithmetic number, because the mean of its divisors is an integer number (470500082598).

Almost surely, 2^{41202274128288} is an apocalyptic number.

41202274128288 is a gapful number since it is divisible by the number (48) 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 41202274128288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67752011894112).

41202274128288 is an abundant number, since it is smaller than the sum of its proper divisors (94301749659936).

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

41202274128288 is a wasteful number, since it uses less digits than its factorization.

41202274128288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59364 (or 59349 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 51.

The spelling of 41202274128288 in words is "forty-one trillion, two hundred two billion, two hundred seventy-four million, one hundred twenty-eight thousand, two hundred eighty-eight".