5730351359040 has 1344 divisors, whose sum is σ = 26045775452160. Its totient is φ = 1152183398400.

The previous prime is 5730351359011. The next prime is 5730351359077. The reversal of 5730351359040 is 409531530375.

5730351359040 is a `hidden beast` number, since 5 + 7 + 3 + 0 + 3 + 5 + 13 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 639329599 + ... + 639338561.

Almost surely, 2^{5730351359040} 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 5730351359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022887726080).

5730351359040 is an abundant number, since it is smaller than the sum of its proper divisors (20315424093120).

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

5730351359040 is a wasteful number, since it uses less digits than its factorization.

5730351359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 5730351359040 in words is "five trillion, seven hundred thirty billion, three hundred fifty-one million, three hundred fifty-nine thousand, forty".