10309200408 has 48 divisors (see below), whose sum is σ = 30068503920. Its totient is φ = 3172061376.

The previous prime is 10309200403. The next prime is 10309200427. The reversal of 10309200408 is 80400290301.

10309200408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10309200408² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309200403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5506116 + ... + 5507987.

It is an arithmetic number, because the mean of its divisors is an integer number (626427165).

Almost surely, 2^10309200408 is an apocalyptic number.

10309200408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10309200408 is an abundant number, since it is smaller than the sum of its proper divisors (19759303512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10309200408 is a wasteful number, since it uses less digits than its factorization.

10309200408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014128 (or 11014121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10309200408 its reverse (80400290301), we get a palindrome (90709490709).

The spelling of 10309200408 in words is "ten billion, three hundred nine million, two hundred thousand, four hundred eight".