120434004414 has 64 divisors (see below), whose sum is σ = 268463592000. Its totient is φ = 40019996160.

The previous prime is 120434004413. The next prime is 120434004487. The reversal of 120434004414 is 414400434021.

120434004414 is a `hidden beast` number, since 1 + 204 + 3 + 40 + 0 + 4 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120434004413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31029754 + ... + 31033634.

It is an arithmetic number, because the mean of its divisors is an integer number (4194743625).

Almost surely, 2^120434004414 is an apocalyptic number.

120434004414 is an abundant number, since it is smaller than the sum of its proper divisors (148029587586).

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

120434004414 is a wasteful number, since it uses less digits than its factorization.

120434004414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5524 counting only the distinct ones).

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

Adding to 120434004414 its reverse (414400434021), we get a palindrome (534834438435).

The spelling of 120434004414 in words is "one hundred twenty billion, four hundred thirty-four million, four thousand, four hundred fourteen".