214660465440 has 48 divisors (see below), whose sum is σ = 676180467648. Its totient is φ = 57242790656.

The previous prime is 214660465429. The next prime is 214660465441. The reversal of 214660465440 is 44564066412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214660465392 and 214660465401.

It is not an unprimeable number, because it can be changed into a prime (214660465441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223604172 + ... + 223605131.

It is an arithmetic number, because the mean of its divisors is an integer number (14087093076).

Almost surely, 2^214660465440 is an apocalyptic number.

214660465440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214660465440 is an abundant number, since it is smaller than the sum of its proper divisors (461520002208).

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

214660465440 is a wasteful number, since it uses less digits than its factorization.

214660465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447209321 (or 447209313 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 214660465440 in words is "two hundred fourteen billion, six hundred sixty million, four hundred sixty-five thousand, four hundred forty".