5990041440 has 144 divisors (see below), whose sum is σ = 20461070448. Its totient is φ = 1595778048.

The previous prime is 5990041439. The next prime is 5990041469. The reversal of 5990041440 is 441400995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5990041395 and 5990041404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874639 + ... + 2876721.

It is an arithmetic number, because the mean of its divisors is an integer number (142090767).

Almost surely, 2^5990041440 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 5990041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230535224).

5990041440 is an abundant number, since it is smaller than the sum of its proper divisors (14471029008).

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

5990041440 is a wasteful number, since it uses less digits than its factorization.

5990041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5990041440 is about 77395.3580003349. The cubic root of 5990041440 is about 1816.1147080926.

The spelling of 5990041440 in words is "five billion, nine hundred ninety million, forty-one thousand, four hundred forty".