414420232140 has 72 divisors (see below), whose sum is σ = 1287735085728. Its totient is φ = 107816643840.

The previous prime is 414420232069. The next prime is 414420232147. The reversal of 414420232140 is 41232024414.

414420232140 is a `hidden beast` number, since 4 + 1 + 4 + 420 + 23 + 214 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (414420232147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28069872 + ... + 28084631.

It is an arithmetic number, because the mean of its divisors is an integer number (17885209524).

Almost surely, 2^414420232140 is an apocalyptic number.

It is an amenable number.

414420232140 is an abundant number, since it is smaller than the sum of its proper divisors (873314853588).

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

414420232140 is a wasteful number, since it uses less digits than its factorization.

414420232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56154559 (or 56154554 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414420232140 its reverse (41232024414), we get a palindrome (455652256554).

The spelling of 414420232140 in words is "four hundred fourteen billion, four hundred twenty million, two hundred thirty-two thousand, one hundred forty".