10042142800 has 120 divisors (see below), whose sum is σ = 24554241920. Its totient is φ = 3946060800.

The previous prime is 10042142797. The next prime is 10042142837. The reversal of 10042142800 is 824124001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9664681 + ... + 9665719.

Almost surely, 2^10042142800 is an apocalyptic number.

10042142800 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 10042142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277120960).

10042142800 is an abundant number, since it is smaller than the sum of its proper divisors (14512099120).

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

10042142800 is a wasteful number, since it uses less digits than its factorization.

10042142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10042142800 its reverse (824124001), we get a palindrome (10866266801).

The spelling of 10042142800 in words is "ten billion, forty-two million, one hundred forty-two thousand, eight hundred".