13928421126400 has 243 divisors, whose sum is σ = 37902965983519. Its totient is φ = 5063686144000.

The previous prime is 13928421126329. The next prime is 13928421126439. The reversal of 13928421126400 is 462112482931.

The square root of 13928421126400 is 3732080.

It is a perfect power (a square), and thus also a powerful number.

13928421126400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3445745737984 + 10482675388416 = 1856272^2 + 3237696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3284228280 + ... + 3284232520.

Almost surely, 2^{13928421126400} is an apocalyptic number.

13928421126400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13928421126400 is the 3732080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13928421126400

13928421126400 is an abundant number, since it is smaller than the sum of its proper divisors (23974544857119).

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

13928421126400 is an frugal number, since it uses more digits than its factorization.

13928421126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 13928421126400 in words is "thirteen trillion, nine hundred twenty-eight billion, four hundred twenty-one million, one hundred twenty-six thousand, four hundred".