314033320200420 has 72 divisors (see below), whose sum is σ = 952572966314424. Its totient is φ = 83741759083008.

The previous prime is 314033320200403. The next prime is 314033320200469. The reversal of 314033320200420 is 24002023330413.

314033320200420 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 3 + 3 + 32 + 0 + 200 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57306020365476 + 256727299834944 = 7570074^2 + 16022712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28748472 + ... + 38138448.

Almost surely, 2^{314033320200420} is an apocalyptic number.

314033320200420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314033320200420 is an abundant number, since it is smaller than the sum of its proper divisors (638539646114004).

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

314033320200420 is a wasteful number, since it uses less digits than its factorization.

314033320200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575789 (or 9575784 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 314033320200420 its reverse (24002023330413), we get a palindrome (338035343530833).

The spelling of 314033320200420 in words is "three hundred fourteen trillion, thirty-three billion, three hundred twenty million, two hundred thousand, four hundred twenty".