5746205813040 has 1920 divisors, whose sum is σ = 26045053009920. Its totient is φ = 1138427136000.

The previous prime is 5746205813011. The next prime is 5746205813041. The reversal of 5746205813040 is 403185026475.

5746205813040 is a `hidden beast` number, since 5 + 7 + 4 + 6 + 20 + 581 + 3 + 0 + 40 = 666.

It is a super-3 number, since 3×5746205813040³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5746205813041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4026772807 + ... + 4026774233.

It is an arithmetic number, because the mean of its divisors is an integer number (13565131776).

Almost surely, 2^{5746205813040} 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 5746205813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022526504960).

5746205813040 is an abundant number, since it is smaller than the sum of its proper divisors (20298847196880).

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

5746205813040 is a wasteful number, since it uses less digits than its factorization.

5746205813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5746205813040 in words is "five trillion, seven hundred forty-six billion, two hundred five million, eight hundred thirteen thousand, forty".