4314145440000 has 360 divisors, whose sum is σ = 15652170227232. Its totient is φ = 1045852160000.

The previous prime is 4314145439999. The next prime is 4314145440049. The reversal of 4314145440000 is 445414134.

It is a super-2 number, since 2×4314145440000² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4314145440000.

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 39 ways as a sum of consecutive naturals, for example, 4871464 + ... + 5688536.

Almost surely, 2^{4314145440000} is an apocalyptic number.

4314145440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314145440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826085113616).

4314145440000 is an abundant number, since it is smaller than the sum of its proper divisors (11338024787232).

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

4314145440000 is an equidigital number, since it uses as much as digits as its factorization.

4314145440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817123 (or 817094 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 4314145440000 in words is "four trillion, three hundred fourteen billion, one hundred forty-five million, four hundred forty thousand".