5382167440 has 160 divisors (see below), whose sum is σ = 14139095040. Its totient is φ = 1890459648.

The previous prime is 5382167429. The next prime is 5382167467. The reversal of 5382167440 is 447612835.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5382167393 and 5382167402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5333656 + ... + 5334664.

It is an arithmetic number, because the mean of its divisors is an integer number (88369344).

Almost surely, 2^5382167440 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 5382167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069547520).

5382167440 is an abundant number, since it is smaller than the sum of its proper divisors (8756927600).

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

5382167440 is a wasteful number, since it uses less digits than its factorization.

5382167440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 5382167440 is about 73363.2567434135. The cubic root of 5382167440 is about 1752.4773012717.

The spelling of 5382167440 in words is "five billion, three hundred eighty-two million, one hundred sixty-seven thousand, four hundred forty".