314401010320432 has 160 divisors (see below), whose sum is σ = 701812795392000. Its totient is φ = 133654473114624.

The previous prime is 314401010320427. The next prime is 314401010320489. The reversal of 314401010320432 is 234023010104413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 314401010320432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74344053294 + ... + 74344057522.

It is an arithmetic number, because the mean of its divisors is an integer number (4386329971200).

Almost surely, 2^{314401010320432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314401010320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350906397696000).

314401010320432 is an abundant number, since it is smaller than the sum of its proper divisors (387411785071568).

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

314401010320432 is a wasteful number, since it uses less digits than its factorization.

314401010320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314401010320432 its reverse (234023010104413), we get a palindrome (548424020424845).

The spelling of 314401010320432 in words is "three hundred fourteen trillion, four hundred one billion, ten million, three hundred twenty thousand, four hundred thirty-two".