10214430140340 has 192 divisors, whose sum is σ = 32142244780800. Its totient is φ = 2692759500288.

The previous prime is 10214430140221. The next prime is 10214430140363. The reversal of 10214430140340 is 4304103441201.

10214430140340 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 4 + 301 + 4 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25879114 + ... + 26270846.

It is an arithmetic number, because the mean of its divisors is an integer number (167407524900).

Almost surely, 2^{10214430140340} is an apocalyptic number.

10214430140340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214430140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071122390400).

10214430140340 is an abundant number, since it is smaller than the sum of its proper divisors (21927814640460).

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

10214430140340 is a wasteful number, since it uses less digits than its factorization.

10214430140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392303 (or 392295 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10214430140340 its reverse (4304103441201), we get a palindrome (14518533581541).

The spelling of 10214430140340 in words is "ten trillion, two hundred fourteen billion, four hundred thirty million, one hundred forty thousand, three hundred forty".