120041400414 has 64 divisors (see below), whose sum is σ = 260982388800. Its totient is φ = 36588797952.

The previous prime is 120041400397. The next prime is 120041400461. The reversal of 120041400414 is 414004140021.

120041400414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27224242 + ... + 27228650.

It is an arithmetic number, because the mean of its divisors is an integer number (4077849825).

Almost surely, 2^120041400414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120041400414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491194400).

120041400414 is an abundant number, since it is smaller than the sum of its proper divisors (140940988386).

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

120041400414 is a wasteful number, since it uses less digits than its factorization.

120041400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 120041400414 its reverse (414004140021), we get a palindrome (534045540435).

The spelling of 120041400414 in words is "one hundred twenty billion, forty-one million, four hundred thousand, four hundred fourteen".