13621428480 has 288 divisors, whose sum is σ = 47767200768. Its totient is φ = 3280691200.

The previous prime is 13621428421. The next prime is 13621428521. The reversal of 13621428480 is 8482412631.

It is a super-2 number, since 2×13621428480² (a number of 21 digits) contains 22 as substring.

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, 7053115 + ... + 7055045.

It is an arithmetic number, because the mean of its divisors is an integer number (165858336).

Almost surely, 2^13621428480 is an apocalyptic number.

13621428480 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 13621428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23883600384).

13621428480 is an abundant number, since it is smaller than the sum of its proper divisors (34145772288).

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

13621428480 is a wasteful number, since it uses less digits than its factorization.

13621428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13621428480 in words is "thirteen billion, six hundred twenty-one million, four hundred twenty-eight thousand, four hundred eighty".