10214443011240 has 512 divisors, whose sum is σ = 38280956313600. Its totient is φ = 2403780572160.

The previous prime is 10214443011197. The next prime is 10214443011259. The reversal of 10214443011240 is 4211034441201.

10214443011240 is a `hidden beast` number, since 1 + 0 + 214 + 4 + 430 + 1 + 12 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738511125 + ... + 738524955.

It is an arithmetic number, because the mean of its divisors is an integer number (74767492800).

Almost surely, 2^{10214443011240} is an apocalyptic number.

10214443011240 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 10214443011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19140478156800).

10214443011240 is an abundant number, since it is smaller than the sum of its proper divisors (28066513302360).

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

10214443011240 is a wasteful number, since it uses less digits than its factorization.

10214443011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16174 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10214443011240 its reverse (4211034441201), we get a palindrome (14425477452441).

The spelling of 10214443011240 in words is "ten trillion, two hundred fourteen billion, four hundred forty-three million, eleven thousand, two hundred forty".