314244040320 has 384 divisors, whose sum is σ = 1294656868800. Its totient is φ = 71827015680.

The previous prime is 314244040307. The next prime is 314244040379. The reversal of 314244040320 is 23040442413.

It is a happy number.

314244040320 is a `hidden beast` number, since 3 + 14 + 244 + 0 + 403 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661155 + ... + 1032285.

Almost surely, 2^314244040320 is an apocalyptic number.

314244040320 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 314244040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647328434400).

314244040320 is an abundant number, since it is smaller than the sum of its proper divisors (980412828480).

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

314244040320 is a wasteful number, since it uses less digits than its factorization.

314244040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371173 (or 371148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 314244040320 its reverse (23040442413), we get a palindrome (337284482733).

The spelling of 314244040320 in words is "three hundred fourteen billion, two hundred forty-four million, forty thousand, three hundred twenty".