4061431745300 has 72 divisors (see below), whose sum is σ = 8905687421400. Its totient is φ = 1607582661120.

The previous prime is 4061431745249. The next prime is 4061431745323. The reversal of 4061431745300 is 35471341604.

It can be written as a sum of positive squares in 12 ways, for example, as 666175910416 + 3395255834884 = 816196^2 + 1842622^2 .

It is a super-3 number, since 3×4061431745300³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8184686 + ... + 8666714.

It is an arithmetic number, because the mean of its divisors is an integer number (123690103075).

Almost surely, 2^{4061431745300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4061431745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452843710700).

4061431745300 is an abundant number, since it is smaller than the sum of its proper divisors (4844255676100).

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

4061431745300 is a wasteful number, since it uses less digits than its factorization.

4061431745300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482925 (or 482918 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 4061431745300 in words is "four trillion, sixty-one billion, four hundred thirty-one million, seven hundred forty-five thousand, three hundred".