314004004020 has 432 divisors, whose sum is σ = 1154523621888. Its totient is φ = 68801564160.

The previous prime is 314004004007. The next prime is 314004004031. The reversal of 314004004020 is 20400400413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314004003984 and 314004004002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29250574 + ... + 29261306.

It is an arithmetic number, because the mean of its divisors is an integer number (2672508384).

Almost surely, 2^314004004020 is an apocalyptic number.

314004004020 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 314004004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577261810944).

314004004020 is an abundant number, since it is smaller than the sum of its proper divisors (840519617868).

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

314004004020 is a wasteful number, since it uses less digits than its factorization.

314004004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 314004004020 its reverse (20400400413), we get a palindrome (334404404433).

The spelling of 314004004020 in words is "three hundred fourteen billion, four million, four thousand, twenty".