41464352160 has 1152 divisors, whose sum is σ = 187489935360. Its totient is φ = 8089804800.

The previous prime is 41464352147. The next prime is 41464352249. The reversal of 41464352160 is 6125346414.

41464352160 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 435 + 216 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181066926 + ... + 181067154.

It is an arithmetic number, because the mean of its divisors is an integer number (162751680).

Almost surely, 2^41464352160 is an apocalyptic number.

41464352160 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 41464352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744967680).

41464352160 is an abundant number, since it is smaller than the sum of its proper divisors (146025583200).

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

41464352160 is a wasteful number, since it uses less digits than its factorization.

41464352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 41464352160 its reverse (6125346414), we get a palindrome (47589698574).

The spelling of 41464352160 in words is "forty-one billion, four hundred sixty-four million, three hundred fifty-two thousand, one hundred sixty".