213014001440 has 24 divisors (see below), whose sum is σ = 503245578780. Its totient is φ = 85205600512.

The previous prime is 213014001437. The next prime is 213014001449. The reversal of 213014001440 is 44100410312.

213014001440 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 2 ways, for example, as 201381947536 + 11632053904 = 448756^2 + 107852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213014001449) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 665668595 + ... + 665668914.

Almost surely, 2^213014001440 is an apocalyptic number.

213014001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213014001440 is an abundant number, since it is smaller than the sum of its proper divisors (290231577340).

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

213014001440 is a wasteful number, since it uses less digits than its factorization.

213014001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331337524 (or 1331337516 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213014001440 its reverse (44100410312), we get a palindrome (257114411752).

The spelling of 213014001440 in words is "two hundred thirteen billion, fourteen million, one thousand, four hundred forty".