41934949518400 has 189 divisors, whose sum is σ = 104323433545629. Its totient is φ = 16591105474560.

The previous prime is 41934949518359. The next prime is 41934949518403. The reversal of 41934949518400 is 481594943914.

The square root of 41934949518400 is 6475720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 27542091779136 + 14392857739264 = 5248056^2 + 3793792^2 .

It is a super-2 number, since 2×41934949518400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41934949518403) 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 26 ways as a sum of consecutive naturals, for example, 25125792766 + ... + 25125794434.

Almost surely, 2^{41934949518400} is an apocalyptic number.

41934949518400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41934949518400 is the 6475720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41934949518400

41934949518400 is an abundant number, since it is smaller than the sum of its proper divisors (62388484027229).

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

41934949518400 is an frugal number, since it uses more digits than its factorization.

41934949518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 41934949518400 in words is "forty-one trillion, nine hundred thirty-four billion, nine hundred forty-nine million, five hundred eighteen thousand, four hundred".