314105454250440 has 128 divisors (see below), whose sum is σ = 975971910816000. Its totient is φ = 80776735413248.

The previous prime is 314105454250417. The next prime is 314105454250447. The reversal of 314105454250440 is 44052454501413.

It is a junction number, because it is equal to n+sod(n) for n = 314105454250392 and 314105454250401.

It is not an unprimeable number, because it can be changed into a prime (314105454250447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50870619 + ... + 56710058.

It is an arithmetic number, because the mean of its divisors is an integer number (7624780553250).

Almost surely, 2^{314105454250440} is an apocalyptic number.

314105454250440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314105454250440 is an abundant number, since it is smaller than the sum of its proper divisors (661866456565560).

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

314105454250440 is a wasteful number, since it uses less digits than its factorization.

314105454250440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107581559 (or 107581555 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 314105454250440 in words is "three hundred fourteen trillion, one hundred five billion, four hundred fifty-four million, two hundred fifty thousand, four hundred forty".