41951345920 has 144 divisors (see below), whose sum is σ = 112585874688. Its totient is φ = 14842552320.

The previous prime is 41951345911. The next prime is 41951345921. The reversal of 41951345920 is 2954315914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41951345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480697 + ... + 561223.

It is an arithmetic number, because the mean of its divisors is an integer number (781846352).

Almost surely, 2^41951345920 is an apocalyptic number.

41951345920 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 41951345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56292937344).

41951345920 is an abundant number, since it is smaller than the sum of its proper divisors (70634528768).

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

41951345920 is a wasteful number, since it uses less digits than its factorization.

41951345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80596 (or 80582 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 41951345920 in words is "forty-one billion, nine hundred fifty-one million, three hundred forty-five thousand, nine hundred twenty".