4067381400625 has 15 divisors (see below), whose sum is σ = 5082662803053. Its totient is φ = 3253864785000.

The previous prime is 4067381400619. The next prime is 4067381400631. The reversal of 4067381400625 is 5260041837604.

The square root of 4067381400625 is 2016775.

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

It is an interprime number because it is at equal distance from previous prime (4067381400619) and next prime (4067381400631).

It can be written as a sum of positive squares in 2 ways, for example, as 318882701809 + 3748498698816 = 564697^2 + 1936104^2 .

It is not a de Polignac number, because 4067381400625 - 2³⁷ = 3929942447153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50379040 + ... + 50459710.

Almost surely, 2^{4067381400625} is an apocalyptic number.

4067381400625 is the 2016775-th square number.

4067381400625 is the 1008388-th centered octagonal number.

It is an amenable number.

4067381400625 is a deficient number, since it is larger than the sum of its proper divisors (1015281402428).

4067381400625 is an frugal number, since it uses more digits than its factorization.

4067381400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161362 (or 80676 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 4067381400625 in words is "four trillion, sixty-seven billion, three hundred eighty-one million, four hundred thousand, six hundred twenty-five".