10401324057 has 12 divisors (see below), whose sum is σ = 15025207444. Its totient is φ = 6933720960.

The previous prime is 10401324053. The next prime is 10401324127. The reversal of 10401324057 is 75042310401.

10401324057 is a `hidden beast` number, since 10 + 401 + 3 + 240 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4765969296 + 5635354761 = 69036^2 + 75069^2 .

It is not a de Polignac number, because 10401324057 - 2² = 10401324053 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10401324057.

It is not an unprimeable number, because it can be changed into a prime (10401324053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128613 + ... + 193245.

Almost surely, 2^10401324057 is an apocalyptic number.

It is an amenable number.

10401324057 is a deficient number, since it is larger than the sum of its proper divisors (4623883387).

10401324057 is a wasteful number, since it uses less digits than its factorization.

10401324057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82520 (or 82517 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10401324057 its reverse (75042310401), we get a palindrome (85443634458).

The spelling of 10401324057 in words is "ten billion, four hundred one million, three hundred twenty-four thousand, fifty-seven".