41088228960 has 192 divisors, whose sum is σ = 130742180352. Its totient is φ = 10846089216.

The previous prime is 41088228941. The next prime is 41088228967. The reversal of 41088228960 is 6982288014.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41088228967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32024479 + ... + 32025761.

It is an arithmetic number, because the mean of its divisors is an integer number (680948856).

Almost surely, 2^41088228960 is an apocalyptic number.

41088228960 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 41088228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65371090176).

41088228960 is an abundant number, since it is smaller than the sum of its proper divisors (89653951392).

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

41088228960 is a wasteful number, since it uses less digits than its factorization.

41088228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 41088228960 in words is "forty-one billion, eighty-eight million, two hundred twenty-eight thousand, nine hundred sixty".