10142000424 has 288 divisors, whose sum is σ = 30754563840. Its totient is φ = 3013977600.

The previous prime is 10142000413. The next prime is 10142000431. The reversal of 10142000424 is 42400024101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10142000397 and 10142000406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33035679 + ... + 33035985.

It is an arithmetic number, because the mean of its divisors is an integer number (106786680).

Almost surely, 2^10142000424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377281920).

10142000424 is an abundant number, since it is smaller than the sum of its proper divisors (20612563416).

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

10142000424 is a wasteful number, since it uses less digits than its factorization.

10142000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10142000424 its reverse (42400024101), we get a palindrome (52542024525).

The spelling of 10142000424 in words is "ten billion, one hundred forty-two million, four hundred twenty-four", and thus it is an aban number.