120414422440400 has 240 divisors, whose sum is σ = 316804751287488. Its totient is φ = 43619344896000.

The previous prime is 120414422440393. The next prime is 120414422440451. The reversal of 120414422440400 is 4044224414021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4832608742 + ... + 4832633658.

Almost surely, 2^{120414422440400} is an apocalyptic number.

120414422440400 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 120414422440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158402375643744).

120414422440400 is an abundant number, since it is smaller than the sum of its proper divisors (196390328847088).

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

120414422440400 is a wasteful number, since it uses less digits than its factorization.

120414422440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29110 (or 29099 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 120414422440400 its reverse (4044224414021), we get a palindrome (124458646854421).

The spelling of 120414422440400 in words is "one hundred twenty trillion, four hundred fourteen billion, four hundred twenty-two million, four hundred forty thousand, four hundred".