5132457379840 has 576 divisors, whose sum is σ = 15221589692400. Its totient is φ = 1652927496192.

The previous prime is 5132457379813. The next prime is 5132457379843. The reversal of 5132457379840 is 489737542315.

It can be written as a sum of positive squares in 8 ways, for example, as 2503078380544 + 2629378999296 = 1582112^2 + 1621536^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (5132457379843) 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 47 ways as a sum of consecutive naturals, for example, 538383714 + ... + 538393246.

Almost surely, 2^{5132457379840} 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 5132457379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610794846200).

5132457379840 is an abundant number, since it is smaller than the sum of its proper divisors (10089132312560).

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

5132457379840 is a wasteful number, since it uses less digits than its factorization.

5132457379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 5132457379840 in words is "five trillion, one hundred thirty-two billion, four hundred fifty-seven million, three hundred seventy-nine thousand, eight hundred forty".