10440214001424 has 225 divisors, whose sum is σ = 30606319628053. Its totient is φ = 3322224073344.

The previous prime is 10440214001387. The next prime is 10440214001431. The reversal of 10440214001424 is 42410041204401.

It is a happy number.

The square root of 10440214001424 is 3231132.

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

10440214001424 is a `hidden beast` number, since 1 + 0 + 440 + 214 + 0 + 0 + 1 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8489834167824 + 1950379833600 = 2913732^2 + 1396560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20511225682 + ... + 20511226190.

Almost surely, 2^{10440214001424} is an apocalyptic number.

10440214001424 is the 3231132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440214001424

10440214001424 is an abundant number, since it is smaller than the sum of its proper divisors (20166105626629).

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

10440214001424 is an frugal number, since it uses more digits than its factorization.

10440214001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10440214001424 its reverse (42410041204401), we get a palindrome (52850255205825).

The spelling of 10440214001424 in words is "ten trillion, four hundred forty billion, two hundred fourteen million, one thousand, four hundred twenty-four".