5289401040 has 480 divisors, whose sum is σ = 21495767040. Its totient is φ = 1062835200.

The previous prime is 5289401027. The next prime is 5289401041. The reversal of 5289401040 is 401049825.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5289400992 and 5289401010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5289401041) 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 95 ways as a sum of consecutive naturals, for example, 4009501 + ... + 4010819.

It is an arithmetic number, because the mean of its divisors is an integer number (44782848).

Almost surely, 2^5289401040 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 5289401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747883520).

5289401040 is an abundant number, since it is smaller than the sum of its proper divisors (16206366000).

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

5289401040 is a wasteful number, since it uses less digits than its factorization.

5289401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5289401040 is about 72728.2685068193. The cubic root of 5289401040 is about 1742.3503974341.

The spelling of 5289401040 in words is "five billion, two hundred eighty-nine million, four hundred one thousand, forty".