401242242104 has 64 divisors (see below), whose sum is σ = 823551321600. Its totient is φ = 181755014400.

The previous prime is 401242242101. The next prime is 401242242113.

It is a happy number.

401242242104 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401242242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55577807 + ... + 55585025.

It is an arithmetic number, because the mean of its divisors is an integer number (12867989400).

Almost surely, 2^401242242104 is an apocalyptic number.

401242242104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401242242104 is an abundant number, since it is smaller than the sum of its proper divisors (422309079496).

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

401242242104 is a wasteful number, since it uses less digits than its factorization.

401242242104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 401242 and 242104, that added together give a palindrome (643346).

The spelling of 401242242104 in words is "four hundred one billion, two hundred forty-two million, two hundred forty-two thousand, one hundred four".