314400252140 has 96 divisors (see below), whose sum is σ = 743662152576. Its totient is φ = 110781665280.

The previous prime is 314400252113. The next prime is 314400252169. The reversal of 314400252140 is 41252004413.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 2528630 + ... + 2650050.

It is an arithmetic number, because the mean of its divisors is an integer number (7746480756).

Almost surely, 2^314400252140 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 314400252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371831076288).

314400252140 is an abundant number, since it is smaller than the sum of its proper divisors (429261900436).

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

314400252140 is a wasteful number, since it uses less digits than its factorization.

314400252140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121899 (or 121897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 314400252140 its reverse (41252004413), we get a palindrome (355652256553).

The spelling of 314400252140 in words is "three hundred fourteen billion, four hundred million, two hundred fifty-two thousand, one hundred forty".