314144023402400 has 72 divisors (see below), whose sum is σ = 778350427071840. Its totient is φ = 123782122632960.

The previous prime is 314144023402379. The next prime is 314144023402409. The reversal of 314144023402400 is 4204320441413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (314144023402409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2930394380 + ... + 2930501579.

It is an arithmetic number, because the mean of its divisors is an integer number (10810422598220).

Almost surely, 2^{314144023402400} is an apocalyptic number.

It is an amenable number.

314144023402400 is an abundant number, since it is smaller than the sum of its proper divisors (464206403669440).

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

314144023402400 is a wasteful number, since it uses less digits than its factorization.

314144023402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860896046 (or 5860896033 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 314144023402400 its reverse (4204320441413), we get a palindrome (318348343843813).

The spelling of 314144023402400 in words is "three hundred fourteen trillion, one hundred forty-four billion, twenty-three million, four hundred two thousand, four hundred".