20031422413002 has 512 divisors, whose sum is σ = 58634169753600. Its totient is φ = 4426878044160.

The previous prime is 20031422412979. The next prime is 20031422413033.

It is a happy number.

20031422413002 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 510868774 + ... + 510907982.

It is an arithmetic number, because the mean of its divisors is an integer number (114519862800).

Almost surely, 2^{20031422413002} is an apocalyptic number.

20031422413002 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 20031422413002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29317084876800).

20031422413002 is an abundant number, since it is smaller than the sum of its proper divisors (38602747340598).

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

20031422413002 is a wasteful number, since it uses less digits than its factorization.

20031422413002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39323 (or 39301 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, 2003142 and 2413002, that added together give a palindrome (4416144).

The spelling of 20031422413002 in words is "twenty trillion, thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, two".