24001022010042 has 144 divisors (see below), whose sum is σ = 65365762338240. Its totient is φ = 6230150847360.

The previous prime is 24001022010029. The next prime is 24001022010059.

24001022010042 is a `hidden beast` number, since 2 + 400 + 1 + 0 + 220 + 1 + 0 + 0 + 42 = 666.

24001022010042 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 24001022009997 and 24001022010024.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24041613 + ... + 25020015.

Almost surely, 2^{24001022010042} is an apocalyptic number.

24001022010042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24001022010042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32682881169120).

24001022010042 is an abundant number, since it is smaller than the sum of its proper divisors (41364740328198).

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

24001022010042 is a wasteful number, since it uses less digits than its factorization.

24001022010042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980049 (or 980035 counting only the distinct ones).

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

It can be divided in two parts, 2400102 and 2010042, that added together give a palindrome (4410144).

The spelling of 24001022010042 in words is "twenty-four trillion, one billion, twenty-two million, ten thousand, forty-two".