5740241789952 has 440 divisors, whose sum is σ = 17532078458400. Its totient is φ = 1870189461504.

The previous prime is 5740241789911. The next prime is 5740241789957. The reversal of 5740241789952 is 2599871420475.

5740241789952 is a `hidden beast` number, since 5 + 7 + 402 + 4 + 178 + 9 + 9 + 52 = 666.

It is a super-2 number, since 2×5740241789952² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5740241789952.

It is not an unprimeable number, because it can be changed into a prime (5740241789957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 875968308 + ... + 875974860.

It is an arithmetic number, because the mean of its divisors is an integer number (39845632860).

Almost surely, 2^{5740241789952} 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 5740241789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766039229200).

5740241789952 is an abundant number, since it is smaller than the sum of its proper divisors (11791836668448).

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

5740241789952 is a wasteful number, since it uses less digits than its factorization.

5740241789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 5740241789952 in words is "five trillion, seven hundred forty billion, two hundred forty-one million, seven hundred eighty-nine thousand, nine hundred fifty-two".