41228443845120 has 320 divisors, whose sum is σ = 152323566024960. Its totient is φ = 9317759582208.

The previous prime is 41228443845107. The next prime is 41228443845139. The reversal of 41228443845120 is 2154834482214.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41228443845120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476224 + ... + 9093056.

It is an arithmetic number, because the mean of its divisors is an integer number (476011143828).

Almost surely, 2^{41228443845120} is an apocalyptic number.

41228443845120 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 41228443845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76161783012480).

41228443845120 is an abundant number, since it is smaller than the sum of its proper divisors (111095122179840).

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

41228443845120 is an equidigital number, since it uses as much as digits as its factorization.

41228443845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616955 (or 8616939 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 41228443845120 in words is "forty-one trillion, two hundred twenty-eight billion, four hundred forty-three million, eight hundred forty-five thousand, one hundred twenty".