41464714144 has 432 divisors, whose sum is σ = 110329309440. Its totient is φ = 15223541760.

The previous prime is 41464714129. The next prime is 41464714147. The reversal of 41464714144 is 44141746414.

It is a junction number, because it is equal to n+sod(n) for n = 41464714097 and 41464714106.

It is not an unprimeable number, because it can be changed into a prime (41464714147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 298307227 + ... + 298307365.

It is an arithmetic number, because the mean of its divisors is an integer number (255391920).

Almost surely, 2^41464714144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41464714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55164654720).

41464714144 is an abundant number, since it is smaller than the sum of its proper divisors (68864595296).

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

41464714144 is a wasteful number, since it uses less digits than its factorization.

41464714144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its digits is 172032, while the sum is 40.

The spelling of 41464714144 in words is "forty-one billion, four hundred sixty-four million, seven hundred fourteen thousand, one hundred forty-four".