214414415140 has 48 divisors (see below), whose sum is σ = 456781852800. Its totient is φ = 84526364160.

The previous prime is 214414415119. The next prime is 214414415239. The reversal of 214414415140 is 41514414412.

It is a super-2 number, since 2×214414415140² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3996211 + ... + 4049509.

It is an arithmetic number, because the mean of its divisors is an integer number (9516288600).

Almost surely, 2^214414415140 is an apocalyptic number.

214414415140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214414415140 is an abundant number, since it is smaller than the sum of its proper divisors (242367437660).

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

214414415140 is a wasteful number, since it uses less digits than its factorization.

214414415140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56212 (or 56210 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

Adding to 214414415140 its reverse (41514414412), we get a palindrome (255928829552).

The spelling of 214414415140 in words is "two hundred fourteen billion, four hundred fourteen million, four hundred fifteen thousand, one hundred forty".