10214384040025 has 27 divisors (see below), whose sum is σ = 13922191784893. Its totient is φ = 7428515098400.

The previous prime is 10214384040023. The next prime is 10214384040037. The reversal of 10214384040025 is 52004048341201.

The square root of 10214384040025 is 3195995.

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

10214384040025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2310773935129 + 7903610104896 = 1520123^2 + 2811336^2 .

It is not a de Polignac number, because 10214384040025 - 2¹ = 10214384040023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10214384040023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175750671 + ... + 175808779.

Almost surely, 2^{10214384040025} is an apocalyptic number.

10214384040025 is the 3195995-th square number.

10214384040025 is the 1597998-th centered octagonal number.

It is an amenable number.

10214384040025 is a deficient number, since it is larger than the sum of its proper divisors (3707807744868).

10214384040025 is an frugal number, since it uses more digits than its factorization.

10214384040025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116250 (or 58125 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 10214384040025 in words is "ten trillion, two hundred fourteen billion, three hundred eighty-four million, forty thousand, twenty-five".