5940458853120 has 1152 divisors, whose sum is σ = 23751078543360. Its totient is φ = 1393459200000.

The previous prime is 5940458853103. The next prime is 5940458853127. The reversal of 5940458853120 is 213588540495.

5940458853120 is a `hidden beast` number, since 5 + 9 + 4 + 0 + 4 + 5 + 88 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5940458853120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5940458853127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1979491620 + ... + 1979494620.

It is an arithmetic number, because the mean of its divisors is an integer number (20617255680).

Almost surely, 2^{5940458853120} 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 5940458853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11875539271680).

5940458853120 is an abundant number, since it is smaller than the sum of its proper divisors (17810619690240).

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

5940458853120 is a wasteful number, since it uses less digits than its factorization.

5940458853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5940458853120 in words is "five trillion, nine hundred forty billion, four hundred fifty-eight million, eight hundred fifty-three thousand, one hundred twenty".