5130369239040 has 960 divisors, whose sum is σ = 18980582100480. Its totient is φ = 1324715212800.

The previous prime is 5130369239033. The next prime is 5130369239101. The reversal of 5130369239040 is 409329630315.

5130369239040 is a `hidden beast` number, since 5 + 13 + 0 + 369 + 239 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3937351029 + ... + 3937352331.

It is an arithmetic number, because the mean of its divisors is an integer number (19771439688).

Almost surely, 2^{5130369239040} 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 5130369239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490291050240).

5130369239040 is an abundant number, since it is smaller than the sum of its proper divisors (13850212861440).

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

5130369239040 is a wasteful number, since it uses less digits than its factorization.

5130369239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 5130369239040 in words is "five trillion, one hundred thirty billion, three hundred sixty-nine million, two hundred thirty-nine thousand, forty".