120342214440 has 576 divisors, whose sum is σ = 482174035200. Its totient is φ = 25881762816.

The previous prime is 120342214429. The next prime is 120342214441. The reversal of 120342214440 is 44412243021.

120342214440 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 2 + 214 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (120342214441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52618977 + ... + 52621263.

It is an arithmetic number, because the mean of its divisors is an integer number (837107700).

Almost surely, 2^120342214440 is an apocalyptic number.

120342214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120342214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241087017600).

120342214440 is an abundant number, since it is smaller than the sum of its proper divisors (361831820760).

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

120342214440 is a wasteful number, since it uses less digits than its factorization.

120342214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

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

Adding to 120342214440 its reverse (44412243021), we get a palindrome (164754457461).

The spelling of 120342214440 in words is "one hundred twenty billion, three hundred forty-two million, two hundred fourteen thousand, four hundred forty".