41314301952 has 576 divisors, whose sum is σ = 146816167680. Its totient is φ = 10078126080.

The previous prime is 41314301933. The next prime is 41314301953. The reversal of 41314301952 is 25910341314.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41314301953) 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 47 ways as a sum of consecutive naturals, for example, 88467223 + ... + 88467689.

It is an arithmetic number, because the mean of its divisors is an integer number (254889180).

Almost surely, 2^41314301952 is an apocalyptic number.

41314301952 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 41314301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73408083840).

41314301952 is an abundant number, since it is smaller than the sum of its proper divisors (105501865728).

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

41314301952 is a wasteful number, since it uses less digits than its factorization.

41314301952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 41314301952 in words is "forty-one billion, three hundred fourteen million, three hundred one thousand, nine hundred fifty-two".