5741032412864 has 224 divisors, whose sum is σ = 13918636892160. Its totient is φ = 2293490368512.

The previous prime is 5741032412849. The next prime is 5741032412867. The reversal of 5741032412864 is 4682142301475.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (5741032412867) 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 31 ways as a sum of consecutive naturals, for example, 334569917 + ... + 334587075.

It is an arithmetic number, because the mean of its divisors is an integer number (62136771840).

Almost surely, 2^{5741032412864} 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 5741032412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959318446080).

5741032412864 is an abundant number, since it is smaller than the sum of its proper divisors (8177604479296).

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

5741032412864 is a wasteful number, since it uses less digits than its factorization.

5741032412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17615 (or 17605 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 5741032412864 in words is "five trillion, seven hundred forty-one billion, thirty-two million, four hundred twelve thousand, eight hundred sixty-four".