5240030781440 has 896 divisors, whose sum is σ = 17005522544640. Its totient is φ = 1502324195328.

The previous prime is 5240030781431. The next prime is 5240030781511. The reversal of 5240030781440 is 441870300425.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 5240030781394 and 5240030781403.

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 63 ways as a sum of consecutive naturals, for example, 1628854712 + ... + 1628857928.

It is an arithmetic number, because the mean of its divisors is an integer number (18979377840).

Almost surely, 2^{5240030781440} 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 5240030781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502761272320).

5240030781440 is an abundant number, since it is smaller than the sum of its proper divisors (11765491763200).

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

5240030781440 is a wasteful number, since it uses less digits than its factorization.

5240030781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 5240030781440 in words is "five trillion, two hundred forty billion, thirty million, seven hundred eighty-one thousand, four hundred forty".