10214442140 has 96 divisors (see below), whose sum is σ = 25611586560. Its totient is φ = 3345762816.

The previous prime is 10214442103. The next prime is 10214442151. The reversal of 10214442140 is 4124441201.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3840131 + ... + 3842789.

It is an arithmetic number, because the mean of its divisors is an integer number (266787360).

Almost surely, 2^10214442140 is an apocalyptic number.

10214442140 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 10214442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805793280).

10214442140 is an abundant number, since it is smaller than the sum of its proper divisors (15397144420).

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

10214442140 is a wasteful number, since it uses less digits than its factorization.

10214442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10214442140 its reverse (4124441201), we get a palindrome (14338883341).

The spelling of 10214442140 in words is "ten billion, two hundred fourteen million, four hundred forty-two thousand, one hundred forty".