314115403440 has 80 divisors (see below), whose sum is σ = 973902818016. Its totient is φ = 83751628800.

The previous prime is 314115403429. The next prime is 314115403487. The reversal of 314115403440 is 44304511413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314115403398 and 314115403407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576630 + ... + 1764650.

Almost surely, 2^314115403440 is an apocalyptic number.

314115403440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314115403440 is an abundant number, since it is smaller than the sum of its proper divisors (659787414576).

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

314115403440 is a wasteful number, since it uses less digits than its factorization.

314115403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194998 (or 194992 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 314115403440 its reverse (44304511413), we get a palindrome (358419914853).

The spelling of 314115403440 in words is "three hundred fourteen billion, one hundred fifteen million, four hundred three thousand, four hundred forty".