10214312140 has 192 divisors, whose sum is σ = 23798476800. Its totient is φ = 3672345600.

The previous prime is 10214312131. The next prime is 10214312153. The reversal of 10214312140 is 4121341201.

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, 73484191 + ... + 73484329.

It is an arithmetic number, because the mean of its divisors is an integer number (123950400).

Almost surely, 2^10214312140 is an apocalyptic number.

10214312140 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 10214312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899238400).

10214312140 is an abundant number, since it is smaller than the sum of its proper divisors (13584164660).

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

10214312140 is a wasteful number, since it uses less digits than its factorization.

10214312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10214312140 its reverse (4121341201), we get a palindrome (14335653341).

The spelling of 10214312140 in words is "ten billion, two hundred fourteen million, three hundred twelve thousand, one hundred forty".