5940377318304 has 1440 divisors, whose sum is σ = 21863796337152. Its totient is φ = 1569209241600.

The previous prime is 5940377318299. The next prime is 5940377318311. The reversal of 5940377318304 is 4038137730495.

5940377318304 is a `hidden beast` number, since 5 + 94 + 0 + 377 + 3 + 183 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 5434928382 + ... + 5434929474.

Almost surely, 2^{5940377318304} is an apocalyptic number.

5940377318304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5940377318304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931898168576).

5940377318304 is an abundant number, since it is smaller than the sum of its proper divisors (15923419018848).

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

5940377318304 is a wasteful number, since it uses less digits than its factorization.

5940377318304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5940377318304 in words is "five trillion, nine hundred forty billion, three hundred seventy-seven million, three hundred eighteen thousand, three hundred four".