100042040142 has 64 divisors (see below), whose sum is σ = 242750027520. Its totient is φ = 30287786400.

The previous prime is 100042040123. The next prime is 100042040143. The reversal of 100042040142 is 241040240001.

100042040142 is a `hidden beast` number, since 100 + 0 + 420 + 4 + 0 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042040143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570868 + ... + 725240.

It is an arithmetic number, because the mean of its divisors is an integer number (3792969180).

Almost surely, 2^100042040142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100042040142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121375013760).

100042040142 is an abundant number, since it is smaller than the sum of its proper divisors (142707987378).

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

100042040142 is a wasteful number, since it uses less digits than its factorization.

100042040142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155486 (or 155480 counting only the distinct ones).

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

Adding to 100042040142 its reverse (241040240001), we get a palindrome (341082280143).

The spelling of 100042040142 in words is "one hundred billion, forty-two million, forty thousand, one hundred forty-two".