4314010400320 has 28 divisors (see below), whose sum is σ = 10272737266524. Its totient is φ = 1725604160000.

The previous prime is 4314010400279. The next prime is 4314010400321. The reversal of 4314010400320 is 230040104134.

It can be written as a sum of positive squares in 2 ways, for example, as 995317494336 + 3318692905984 = 997656^2 + 1821728^2 .

It is a super-2 number, since 2×4314010400320² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314010400291 and 4314010400300.

It is not an unprimeable number, because it can be changed into a prime (4314010400321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6740640931 + ... + 6740641570.

Almost surely, 2^{4314010400320} is an apocalyptic number.

4314010400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314010400320 is an abundant number, since it is smaller than the sum of its proper divisors (5958726866204).

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

4314010400320 is a wasteful number, since it uses less digits than its factorization.

4314010400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481282518 (or 13481282508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4314010400320 its reverse (230040104134), we get a palindrome (4544050504454).

The spelling of 4314010400320 in words is "four trillion, three hundred fourteen billion, ten million, four hundred thousand, three hundred twenty".