10400940225 has 81 divisors (see below), whose sum is σ = 20211134697. Its totient is φ = 5110672320.

The previous prime is 10400940217. The next prime is 10400940227. The reversal of 10400940225 is 52204900401.

The square root of 10400940225 is 101985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2680857729 + 7720082496 = 51777^2 + 87864^2 .

It is not a de Polignac number, because 10400940225 - 2³ = 10400940217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400940227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19886814 + ... + 19887336.

Almost surely, 2^10400940225 is an apocalyptic number.

10400940225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10400940225 is the 101985-th square number.

10400940225 is the 50993-rd centered octagonal number.

It is an amenable number.

10400940225 is a deficient number, since it is larger than the sum of its proper divisors (9810194472).

10400940225 is an equidigital number, since it uses as much as digits as its factorization.

10400940225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 10400 and 940225, that added together give a square (950625 = 975²).

The spelling of 10400940225 in words is "ten billion, four hundred million, nine hundred forty thousand, two hundred twenty-five".