5088601440 has 240 divisors, whose sum is σ = 19340587728. Its totient is φ = 1252537344.

The previous prime is 5088601421. The next prime is 5088601447. The reversal of 5088601440 is 441068805.

5088601440 is a `hidden beast` number, since 5 + 0 + 8 + 8 + 601 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5088601395 and 5088601404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088601447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153379 + ... + 183581.

Almost surely, 2^5088601440 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 5088601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670293864).

5088601440 is an abundant number, since it is smaller than the sum of its proper divisors (14251986288).

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

5088601440 is a wasteful number, since it uses less digits than its factorization.

5088601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30243 (or 30226 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5088601440 is about 71334.4337609825. The cubic root of 5088601440 is about 1720.0172884507.

The spelling of 5088601440 in words is "five billion, eighty-eight million, six hundred one thousand, four hundred forty".