5305501102440 has 512 divisors, whose sum is σ = 20225064960000. Its totient is φ = 1081425945600.

The previous prime is 5305501102439. The next prime is 5305501102463. The reversal of 5305501102440 is 442011055035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5305501102398 and 5305501102407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130531641 + ... + 130572279.

It is an arithmetic number, because the mean of its divisors is an integer number (39502080000).

Almost surely, 2^{5305501102440} 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 5305501102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112532480000).

5305501102440 is an abundant number, since it is smaller than the sum of its proper divisors (14919563857560).

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

5305501102440 is a wasteful number, since it uses less digits than its factorization.

5305501102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40941 (or 40937 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 5305501102440 its reverse (442011055035), we get a palindrome (5747512157475).

The spelling of 5305501102440 in words is "five trillion, three hundred five billion, five hundred one million, one hundred two thousand, four hundred forty".