5730493285440 has 3024 divisors, whose sum is σ = 28116461318400. Its totient is φ = 1060701143040.

The previous prime is 5730493285417. The next prime is 5730493285463. The reversal of 5730493285440 is 445823940375.

5730493285440 is a `hidden beast` number, since 5 + 7 + 3 + 0 + 4 + 93 + 2 + 8 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5730493285417) and next prime (5730493285463).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5515392441 + ... + 5515393479.

It is an arithmetic number, because the mean of its divisors is an integer number (9297771600).

Almost surely, 2^{5730493285440} 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 5730493285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14058230659200).

5730493285440 is an abundant number, since it is smaller than the sum of its proper divisors (22385968032960).

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

5730493285440 is a wasteful number, since it uses less digits than its factorization.

5730493285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5730493285440 in words is "five trillion, seven hundred thirty billion, four hundred ninety-three million, two hundred eighty-five thousand, four hundred forty".