10142000420 has 96 divisors (see below), whose sum is σ = 23579797248. Its totient is φ = 3644669952.

The previous prime is 10142000413. The next prime is 10142000431. The reversal of 10142000420 is 2400024101.

It is a junction number, because it is equal to n+sod(n) for n = 10142000395 and 10142000404.

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 31 ways as a sum of consecutive naturals, for example, 5027252 + ... + 5029268.

It is an arithmetic number, because the mean of its divisors is an integer number (245622888).

Almost surely, 2^10142000420 is an apocalyptic number.

10142000420 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 10142000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789898624).

10142000420 is an abundant number, since it is smaller than the sum of its proper divisors (13437796828).

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

10142000420 is a wasteful number, since it uses less digits than its factorization.

10142000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10142000420 its reverse (2400024101), we get a palindrome (12542024521).

The spelling of 10142000420 in words is "ten billion, one hundred forty-two million, four hundred twenty", and thus it is an aban number.