13628461440 has 256 divisors, whose sum is σ = 47772426240. Its totient is φ = 3277209600.

The previous prime is 13628461433. The next prime is 13628461487. The reversal of 13628461440 is 4416482631.

It is a super-2 number, since 2×13628461440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2679700 + ... + 2684780.

It is an arithmetic number, because the mean of its divisors is an integer number (186611040).

Almost surely, 2^13628461440 is an apocalyptic number.

13628461440 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 13628461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886213120).

13628461440 is an abundant number, since it is smaller than the sum of its proper divisors (34143964800).

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

13628461440 is a wasteful number, since it uses less digits than its factorization.

13628461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 13628461440 in words is "thirteen billion, six hundred twenty-eight million, four hundred sixty-one thousand, four hundred forty".