5387005440 has 400 divisors, whose sum is σ = 19589402448. Its totient is φ = 1414692864.

The previous prime is 5387005391. The next prime is 5387005487. The reversal of 5387005440 is 445007835.

5387005440 is a `hidden beast` number, since 538 + 70 + 0 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×5387005440² = 58039655221179187200, which contains 22 as substring.

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 = 5387005395 and 5387005404.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 17210724 + ... + 17211036.

Almost surely, 2^5387005440 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 5387005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9794701224).

5387005440 is an abundant number, since it is smaller than the sum of its proper divisors (14202397008).

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

5387005440 is an equidigital number, since it uses as much as digits as its factorization.

5387005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5387005440 is about 73396.2222461075. Note that the first 4 decimals coincide. The cubic root of 5387005440 is about 1753.0022413400.

The spelling of 5387005440 in words is "five billion, three hundred eighty-seven million, five thousand, four hundred forty".