14013941990400 has 891 divisors, whose sum is σ = 55230627365823. Its totient is φ = 3392527564800.

The previous prime is 14013941990371. The next prime is 14013941990437. The reversal of 14013941990400 is 409914931041.

The square root of 14013941990400 is 3743520.

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

14013941990400 is a `hidden beast` number, since 1 + 40 + 13 + 9 + 4 + 199 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3870379459584 + 10143562530816 = 1967328^2 + 3184896^2 .

It is a super-2 number, since 2×14013941990400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19765785246 + ... + 19765785954.

Almost surely, 2^{14013941990400} is an apocalyptic number.

14013941990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14013941990400 is the 3743520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013941990400

14013941990400 is an abundant number, since it is smaller than the sum of its proper divisors (41216685375423).

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

14013941990400 is an equidigital number, since it uses as much as digits as its factorization.

14013941990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 14013941990400 in words is "fourteen trillion, thirteen billion, nine hundred forty-one million, nine hundred ninety thousand, four hundred".