1014400200125 has 64 divisors (see below), whose sum is σ = 1405207597248. Its totient is φ = 726243840000.

The previous prime is 1014400200103. The next prime is 1014400200133. The reversal of 1014400200125 is 5210020044101.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 615022966756 + 399377233369 = 784234^2 + 631963^2 .

It is not a de Polignac number, because 1014400200125 - 2¹⁸ = 1014399937981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1014400200097 and 1014400200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16865105 + ... + 16925145.

It is an arithmetic number, because the mean of its divisors is an integer number (21956368707).

Almost surely, 2^{1014400200125} is an apocalyptic number.

It is an amenable number.

1014400200125 is a deficient number, since it is larger than the sum of its proper divisors (390807397123).

1014400200125 is a wasteful number, since it uses less digits than its factorization.

1014400200125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60387 (or 60377 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1014400200125 its reverse (5210020044101), we get a palindrome (6224420244226).

The spelling of 1014400200125 in words is "one trillion, fourteen billion, four hundred million, two hundred thousand, one hundred twenty-five".