10414142320 has 80 divisors (see below), whose sum is σ = 24818866848. Its totient is φ = 4062643200.

The previous prime is 10414142287. The next prime is 10414142339. The reversal of 10414142320 is 2324141401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10414142320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10414142291 and 10414142300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531742 + ... + 550978.

Almost surely, 2^10414142320 is an apocalyptic number.

10414142320 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 10414142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409433424).

10414142320 is an abundant number, since it is smaller than the sum of its proper divisors (14404724528).

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

10414142320 is a wasteful number, since it uses less digits than its factorization.

10414142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19418 (or 19412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10414142320 its reverse (2324141401), we get a palindrome (12738283721).

The spelling of 10414142320 in words is "ten billion, four hundred fourteen million, one hundred forty-two thousand, three hundred twenty".