42002400020 has 24 divisors (see below), whose sum is σ = 100805760384. Its totient is φ = 14400822816.

The previous prime is 42002400007. The next prime is 42002400023. The reversal of 42002400020 is 2000420024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 42002399968 and 42002400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002400023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150008432 + ... + 150008711.

It is an arithmetic number, because the mean of its divisors is an integer number (4200240016).

Almost surely, 2^42002400020 is an apocalyptic number.

It is an amenable number.

42002400020 is an abundant number, since it is smaller than the sum of its proper divisors (58803360364).

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

42002400020 is a wasteful number, since it uses less digits than its factorization.

42002400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300017159 (or 300017157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 42002400020 its reverse (2000420024), we get a palindrome (44002820044).

The spelling of 42002400020 in words is "forty-two billion, two million, four hundred thousand, twenty".