333401101242 has 128 divisors (see below), whose sum is σ = 791723704320. Its totient is φ = 93304164800.

The previous prime is 333401101237. The next prime is 333401101247. The reversal of 333401101242 is 242101104333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (333401101237) and next prime (333401101247).

It is a super-2 number, since 2×333401101242² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333401101247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5295367 + ... + 5357957.

It is an arithmetic number, because the mean of its divisors is an integer number (6185341440).

Almost surely, 2^333401101242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333401101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395861852160).

333401101242 is an abundant number, since it is smaller than the sum of its proper divisors (458322603078).

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

333401101242 is a wasteful number, since it uses less digits than its factorization.

333401101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62681 (or 62659 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 333401101242 its reverse (242101104333), we get a palindrome (575502205575).

The spelling of 333401101242 in words is "three hundred thirty-three billion, four hundred one million, one hundred one thousand, two hundred forty-two".