10400024033225 has 24 divisors (see below), whose sum is σ = 13026080991000. Its totient is φ = 8236252938240.

The previous prime is 10400024033213. The next prime is 10400024033237. The reversal of 10400024033225 is 52233042000401.

It is an interprime number because it is at equal distance from previous prime (10400024033213) and next prime (10400024033237).

It can be written as a sum of positive squares in 12 ways, for example, as 6676544377801 + 3723479655424 = 2583901^2 + 1929632^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10400024033225 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400024033194 and 10400024033203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301321 + ... + 4742729.

It is an arithmetic number, because the mean of its divisors is an integer number (542753374625).

Almost surely, 2^{10400024033225} is an apocalyptic number.

It is an amenable number.

10400024033225 is a deficient number, since it is larger than the sum of its proper divisors (2626056957775).

10400024033225 is a wasteful number, since it uses less digits than its factorization.

10400024033225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442637 (or 3442632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 10400024033225 its reverse (52233042000401), we get a palindrome (62633066033626).

The spelling of 10400024033225 in words is "ten trillion, four hundred billion, twenty-four million, thirty-three thousand, two hundred twenty-five".