10400412141 has 18 divisors (see below), whose sum is σ = 17475523182. Its totient is φ = 5943092400.

The previous prime is 10400412137. The next prime is 10400412157. The reversal of 10400412141 is 14121400401.

10400412141 is a `hidden beast` number, since 10 + 400 + 41 + 214 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8969984100 + 1430428041 = 94710^2 + 37821^2 .

It is not a de Polignac number, because 10400412141 - 2² = 10400412137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400412161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11791410 + ... + 11792291.

It is an arithmetic number, because the mean of its divisors is an integer number (970862399).

Almost surely, 2^10400412141 is an apocalyptic number.

It is an amenable number.

10400412141 is a deficient number, since it is larger than the sum of its proper divisors (7075111041).

10400412141 is a wasteful number, since it uses less digits than its factorization.

10400412141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23583721 (or 23583711 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10400412141 its reverse (14121400401), we get a palindrome (24521812542).

The spelling of 10400412141 in words is "ten billion, four hundred million, four hundred twelve thousand, one hundred forty-one".