10214430300040 has 32 divisors (see below), whose sum is σ = 22983186651480. Its totient is φ = 4085644390912.

The previous prime is 10214430300031. The next prime is 10214430300071. The reversal of 10214430300040 is 4000303441201.

It can be written as a sum of positive squares in 4 ways, for example, as 3601272880804 + 6613157419236 = 1897702^2 + 2571606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10214430299984 and 10214430300020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2690797 + ... + 5260156.

Almost surely, 2^{10214430300040} is an apocalyptic number.

10214430300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214430300040 is an abundant number, since it is smaller than the sum of its proper divisors (12768756351440).

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

10214430300040 is a wasteful number, since it uses less digits than its factorization.

10214430300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983081 (or 7983077 counting only the distinct ones).

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

Adding to 10214430300040 its reverse (4000303441201), we get a palindrome (14214733741241).

The spelling of 10214430300040 in words is "ten trillion, two hundred fourteen billion, four hundred thirty million, three hundred thousand, forty".