10142073024 has 112 divisors (see below), whose sum is σ = 27848478720. Its totient is φ = 3253662720.

The previous prime is 10142072999. The next prime is 10142073047. The reversal of 10142073024 is 42037024101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10142072985 and 10142073003.

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, 1840257 + ... + 1845759.

Almost surely, 2^10142073024 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 10142073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924239360).

10142073024 is an abundant number, since it is smaller than the sum of its proper divisors (17706405696).

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

10142073024 is a wasteful number, since it uses less digits than its factorization.

10142073024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 10142073024 its reverse (42037024101), we get a palindrome (52179097125).

The spelling of 10142073024 in words is "ten billion, one hundred forty-two million, seventy-three thousand, twenty-four".