420415310333152 has 96 divisors (see below), whose sum is σ = 868778352691200. Its totient is φ = 199883315089920.

The previous prime is 420415310333089. The next prime is 420415310333159. The reversal of 420415310333152 is 251333013514024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420415310333159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132451974 + ... + 135588922.

It is an arithmetic number, because the mean of its divisors is an integer number (9049774507200).

Almost surely, 2^{420415310333152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420415310333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434389176345600).

420415310333152 is an abundant number, since it is smaller than the sum of its proper divisors (448363042358048).

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

420415310333152 is a wasteful number, since it uses less digits than its factorization.

420415310333152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138056 (or 3138048 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 420415310333152 its reverse (251333013514024), we get a palindrome (671748323847176).

The spelling of 420415310333152 in words is "four hundred twenty trillion, four hundred fifteen billion, three hundred ten million, three hundred thirty-three thousand, one hundred fifty-two".