10172400329 has 16 divisors (see below), whose sum is σ = 13178820480. Its totient is φ = 7624886400.

The previous prime is 10172400323. The next prime is 10172400331. The reversal of 10172400329 is 92300427101.

It is a cyclic number.

It is not a de Polignac number, because 10172400329 - 2¹⁶ = 10172334793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10172400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939972 + ... + 2943429.

It is an arithmetic number, because the mean of its divisors is an integer number (823676280).

Almost surely, 2^10172400329 is an apocalyptic number.

10172400329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10172400329 is a deficient number, since it is larger than the sum of its proper divisors (3006420151).

10172400329 is a wasteful number, since it uses less digits than its factorization.

10172400329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883440.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 10172400329 in words is "ten billion, one hundred seventy-two million, four hundred thousand, three hundred twenty-nine".