13620462240 has 384 divisors, whose sum is σ = 53683015680. Its totient is φ = 2820096000.

The previous prime is 13620462239. The next prime is 13620462241. The reversal of 13620462240 is 4226402631.

13620462240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13620462239) and next prime (13620462241).

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 = 13620462198 and 13620462207.

It is not an unprimeable number, because it can be changed into a prime (13620462241) 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 63 ways as a sum of consecutive naturals, for example, 14820501 + ... + 14821419.

It is an arithmetic number, because the mean of its divisors is an integer number (139799520).

Almost surely, 2^13620462240 is an apocalyptic number.

13620462240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13620462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841507840).

13620462240 is an abundant number, since it is smaller than the sum of its proper divisors (40062553440).

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

13620462240 is a wasteful number, since it uses less digits than its factorization.

13620462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13620462240 its reverse (4226402631), we get a palindrome (17846864871).

The spelling of 13620462240 in words is "thirteen billion, six hundred twenty million, four hundred sixty-two thousand, two hundred forty".