420402314413110 has 128 divisors (see below), whose sum is σ = 1082137754211840. Its totient is φ = 104200135603200.

The previous prime is 420402314413087. The next prime is 420402314413111. The reversal of 420402314413110 is 11314413204024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420402314413111) 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, 1231521250 + ... + 1231862570.

It is an arithmetic number, because the mean of its divisors is an integer number (8454201204780).

Almost surely, 2^{420402314413110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420402314413110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541068877105920).

420402314413110 is an abundant number, since it is smaller than the sum of its proper divisors (661735439798730).

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

420402314413110 is a wasteful number, since it uses less digits than its factorization.

420402314413110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382174.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 420402314413110 its reverse (11314413204024), we get a palindrome (431716727617134).

The spelling of 420402314413110 in words is "four hundred twenty trillion, four hundred two billion, three hundred fourteen million, four hundred thirteen thousand, one hundred ten".