14046990400 has 63 divisors (see below), whose sum is σ = 34576045021. Its totient is φ = 5616899840.

The previous prime is 14046990389. The next prime is 14046990409. The reversal of 14046990400 is 409964041.

The square root of 14046990400 is 118520.

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

It can be written as a sum of positive squares in only one way, i.e., 5056916544 + 8990073856 = 71112^2 + 94816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14046990400.

It is not an unprimeable number, because it can be changed into a prime (14046990409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4739319 + ... + 4742281.

Almost surely, 2^14046990400 is an apocalyptic number.

14046990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14046990400 is the 118520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14046990400

14046990400 is an abundant number, since it is smaller than the sum of its proper divisors (20529054621).

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

14046990400 is an frugal number, since it uses more digits than its factorization.

14046990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 14046990400 in words is "fourteen billion, forty-six million, nine hundred ninety thousand, four hundred".