5990941440 has 864 divisors, whose sum is σ = 25070363136. Its totient is φ = 1353646080.

The previous prime is 5990941427. The next prime is 5990941477. The reversal of 5990941440 is 441490995.

5990941440 is a `hidden beast` number, since 599 + 0 + 9 + 4 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58164429 + ... + 58164531.

It is an arithmetic number, because the mean of its divisors is an integer number (29016624).

Almost surely, 2^5990941440 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 5990941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535181568).

5990941440 is an abundant number, since it is smaller than the sum of its proper divisors (19079421696).

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

5990941440 is a wasteful number, since it uses less digits than its factorization.

5990941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5990941440 is about 77401.1720841487. The cubic root of 5990941440 is about 1816.2056602393.

The spelling of 5990941440 in words is "five billion, nine hundred ninety million, nine hundred forty-one thousand, four hundred forty".