41354144832 has 672 divisors, whose sum is σ = 153038405632. Its totient is φ = 9580032000.

The previous prime is 41354144809. The next prime is 41354144837. The reversal of 41354144832 is 23844145314.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (41354144837) 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 95 ways as a sum of consecutive naturals, for example, 65537157 + ... + 65537787.

Almost surely, 2^41354144832 is an apocalyptic number.

41354144832 is a gapful number since it is divisible by the number (42) 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 41354144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76519202816).

41354144832 is an abundant number, since it is smaller than the sum of its proper divisors (111684260800).

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

41354144832 is a wasteful number, since it uses less digits than its factorization.

41354144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The spelling of 41354144832 in words is "forty-one billion, three hundred fifty-four million, one hundred forty-four thousand, eight hundred thirty-two".