42000200200024 has 32 divisors (see below), whose sum is σ = 86133807267840. Its totient is φ = 19041154122400.

The previous prime is 42000200200019. The next prime is 42000200200067.

42000200200024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42000200199980 and 42000200200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623040712 + ... + 623108119.

It is an arithmetic number, because the mean of its divisors is an integer number (2691681477120).

Almost surely, 2^{42000200200024} is an apocalyptic number.

42000200200024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42000200200024 is an abundant number, since it is smaller than the sum of its proper divisors (44133607067816).

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

42000200200024 is a wasteful number, since it uses less digits than its factorization.

42000200200024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246149231 (or 1246149227 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 42000200 and 200024, that added together give a palindrome (42200224).

The spelling of 42000200200024 in words is "forty-two trillion, two hundred million, two hundred thousand, twenty-four".