214364354440 has 64 divisors (see below), whose sum is σ = 483729246000. Its totient is φ = 85495541760.

The previous prime is 214364354431. The next prime is 214364354467. The reversal of 214364354440 is 44453463412.

214364354440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 142667865796 + 71696488644 = 377714^2 + 267762^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 214364354393 and 214364354402.

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 15 ways as a sum of consecutive naturals, for example, 21412156 + ... + 21422164.

Almost surely, 2^214364354440 is an apocalyptic number.

214364354440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214364354440 is an abundant number, since it is smaller than the sum of its proper divisors (269364891560).

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

214364354440 is a wasteful number, since it uses less digits than its factorization.

214364354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 214364354440 in words is "two hundred fourteen billion, three hundred sixty-four million, three hundred fifty-four thousand, four hundred forty".