41464941120 has 224 divisors, whose sum is σ = 146941885440. Its totient is φ = 11007221760.

The previous prime is 41464941103. The next prime is 41464941127. The reversal of 41464941120 is 2114946414.

It is a happy number.

41464941120 is a `hidden beast` number, since 4 + 1 + 4 + 649 + 4 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41464941127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1915960 + ... + 1937480.

It is an arithmetic number, because the mean of its divisors is an integer number (655990560).

Almost surely, 2^41464941120 is an apocalyptic number.

41464941120 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 41464941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73470942720).

41464941120 is an abundant number, since it is smaller than the sum of its proper divisors (105476944320).

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

41464941120 is a wasteful number, since it uses less digits than its factorization.

41464941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41464941120 in words is "forty-one billion, four hundred sixty-four million, nine hundred forty-one thousand, one hundred twenty".