414315812020 has 144 divisors (see below), whose sum is σ = 962509806720. Its totient is φ = 149693589760.

The previous prime is 414315812017. The next prime is 414315812023. The reversal of 414315812020 is 20218513414.

It is an interprime number because it is at equal distance from previous prime (414315812017) and next prime (414315812023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414315812023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314112921 + ... + 314114239.

It is an arithmetic number, because the mean of its divisors is an integer number (6684095880).

Almost surely, 2^414315812020 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 414315812020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481254903360).

414315812020 is an abundant number, since it is smaller than the sum of its proper divisors (548193994700).

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

414315812020 is a wasteful number, since it uses less digits than its factorization.

414315812020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 414315812020 in words is "four hundred fourteen billion, three hundred fifteen million, eight hundred twelve thousand, twenty".