1004431200340 has 12 divisors (see below), whose sum is σ = 2109305520756. Its totient is φ = 401772480128.

The previous prime is 1004431200313. The next prime is 1004431200343. The reversal of 1004431200340 is 430021344001.

1004431200340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 675467009424 + 328964190916 = 821868^2 + 573554^2 .

It is a super-2 number, since 2×1004431200340² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004431200343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25110779989 + ... + 25110780028.

It is an arithmetic number, because the mean of its divisors is an integer number (175775460063).

Almost surely, 2^{1004431200340} is an apocalyptic number.

1004431200340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004431200340 is an abundant number, since it is smaller than the sum of its proper divisors (1104874320416).

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

1004431200340 is a wasteful number, since it uses less digits than its factorization.

1004431200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50221560026 (or 50221560024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004431200340 its reverse (430021344001), we get a palindrome (1434452544341).

The spelling of 1004431200340 in words is "one trillion, four billion, four hundred thirty-one million, two hundred thousand, three hundred forty".