314033404020 has 288 divisors, whose sum is σ = 1040027143680. Its totient is φ = 70581288960.

The previous prime is 314033403991. The next prime is 314033404057. The reversal of 314033404020 is 20404330413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59688190 + ... + 59693450.

It is an arithmetic number, because the mean of its divisors is an integer number (3611205360).

Almost surely, 2^314033404020 is an apocalyptic number.

314033404020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314033404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520013571840).

314033404020 is an abundant number, since it is smaller than the sum of its proper divisors (725993739660).

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

314033404020 is a wasteful number, since it uses less digits than its factorization.

314033404020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 314033404020 its reverse (20404330413), we get a palindrome (334437734433).

The spelling of 314033404020 in words is "three hundred fourteen billion, thirty-three million, four hundred four thousand, twenty".