5954014441440 has 288 divisors, whose sum is σ = 21990971620800. Its totient is φ = 1458237800448.

The previous prime is 5954014441439. The next prime is 5954014441447. The reversal of 5954014441440 is 441444104595.

5954014441440 is a `hidden beast` number, since 5 + 9 + 54 + 0 + 144 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5954014441447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926144 + ... + 4524416.

It is an arithmetic number, because the mean of its divisors is an integer number (76357540350).

Almost surely, 2^{5954014441440} 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 5954014441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995485810400).

5954014441440 is an abundant number, since it is smaller than the sum of its proper divisors (16036957179360).

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

5954014441440 is a wasteful number, since it uses less digits than its factorization.

5954014441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598506 (or 1598495 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5954014441440 in words is "five trillion, nine hundred fifty-four billion, fourteen million, four hundred forty-one thousand, four hundred forty".