20041233214002 has 256 divisors, whose sum is σ = 54308562739200. Its totient is φ = 4800949021440.

The previous prime is 20041233213943. The next prime is 20041233214073.

It is a happy number.

20041233214002 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 888774624 + ... + 888797172.

It is an arithmetic number, because the mean of its divisors is an integer number (212142823200).

Almost surely, 2^{20041233214002} is an apocalyptic number.

20041233214002 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 20041233214002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27154281369600).

20041233214002 is an abundant number, since it is smaller than the sum of its proper divisors (34267329525198).

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

20041233214002 is a wasteful number, since it uses less digits than its factorization.

20041233214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23830 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2004123 and 3214002, that added together give a palindrome (5218125).

The spelling of 20041233214002 in words is "twenty trillion, forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, two".