214120211440 has 40 divisors (see below), whose sum is σ = 497930125968. Its totient is φ = 85630771200.

The previous prime is 214120211377. The next prime is 214120211449. The reversal of 214120211440 is 44112021412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×214120211440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214120211449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131415 + ... + 667465.

Almost surely, 2^214120211440 is an apocalyptic number.

214120211440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214120211440 is an abundant number, since it is smaller than the sum of its proper divisors (283809914528).

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

214120211440 is a wasteful number, since it uses less digits than its factorization.

214120211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541057 (or 541051 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 214120211440 its reverse (44112021412), we get a palindrome (258232232852).

The spelling of 214120211440 in words is "two hundred fourteen billion, one hundred twenty million, two hundred eleven thousand, four hundred forty".