24010401042 has 48 divisors (see below), whose sum is σ = 54839229120. Its totient is φ = 7571340000.

The previous prime is 24010401029. The next prime is 24010401047.

24010401042 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (24010401047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189667 + ... + 289817.

It is an arithmetic number, because the mean of its divisors is an integer number (1142483940).

Almost surely, 2^24010401042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24010401042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27419614560).

24010401042 is an abundant number, since it is smaller than the sum of its proper divisors (30828828078).

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

24010401042 is a wasteful number, since it uses less digits than its factorization.

24010401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100879 (or 100876 counting only the distinct ones).

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

The spelling of 24010401042 in words is "twenty-four billion, ten million, four hundred one thousand, forty-two".