5940095167440 has 2880 divisors, whose sum is σ = 26885139240960. Its totient is φ = 1189839974400.

The previous prime is 5940095167439. The next prime is 5940095167453. The reversal of 5940095167440 is 447615900495.

5940095167440 is a `hidden beast` number, since 5 + 94 + 0 + 0 + 9 + 51 + 67 + 440 = 666.

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

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 58812823390 + ... + 58812823490.

It is an arithmetic number, because the mean of its divisors is an integer number (9335117792).

Almost surely, 2^{5940095167440} 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 5940095167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442569620480).

5940095167440 is an abundant number, since it is smaller than the sum of its proper divisors (20945044073520).

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

5940095167440 is a wasteful number, since it uses less digits than its factorization.

5940095167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5940095167440 in words is "five trillion, nine hundred forty billion, ninety-five million, one hundred sixty-seven thousand, four hundred forty".