9240400129 has 9 divisors (see below), whose sum is σ = 9346075011. Its totient is φ = 9135910080.

The previous prime is 9240400067. The next prime is 9240400139. The reversal of 9240400129 is 9210040429.

It is a happy number.

The square root of 9240400129 is 96127.

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

It can be written as a sum of positive squares in only one way, i.e., 4149292225 + 5091107904 = 64415^2 + 71352^2 .

It is not a de Polignac number, because 9240400129 - 2¹¹ = 9240398081 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 9240400129.

It is not an unprimeable number, because it can be changed into a prime (9240400139) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9323824 + ... + 9324814.

It is an arithmetic number, because the mean of its divisors is an integer number (1038452779).

Almost surely, 2^9240400129 is an apocalyptic number.

9240400129 is the 96127-th square number.

9240400129 is the 48064-th centered octagonal number.

It is an amenable number.

9240400129 is a deficient number, since it is larger than the sum of its proper divisors (105674882).

9240400129 is an frugal number, since it uses more digits than its factorization.

9240400129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 9240400129 is about 2098.4417865608.

Multiplying 9240400129 by its product of nonzero digits (5184), we get a square (47902234268736 = 6921144²).

The spelling of 9240400129 in words is "nine billion, two hundred forty million, four hundred thousand, one hundred twenty-nine".