10140220304214 has 256 divisors, whose sum is σ = 28025790234624. Its totient is φ = 2360423462400.

The previous prime is 10140220304189. The next prime is 10140220304339. The reversal of 10140220304214 is 41240302204101.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 103728819 + ... + 103826529.

It is an arithmetic number, because the mean of its divisors is an integer number (109475743104).

Almost surely, 2^{10140220304214} is an apocalyptic number.

10140220304214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140220304214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012895117312).

10140220304214 is an abundant number, since it is smaller than the sum of its proper divisors (17885569930410).

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

10140220304214 is a wasteful number, since it uses less digits than its factorization.

10140220304214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98251.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10140220304214 its reverse (41240302204101), we get a palindrome (51380522508315).

The spelling of 10140220304214 in words is "ten trillion, one hundred forty billion, two hundred twenty million, three hundred four thousand, two hundred fourteen".