120411010434 has 96 divisors (see below), whose sum is σ = 285198314688. Its totient is φ = 33596160000.

The previous prime is 120411010417. The next prime is 120411010441. The reversal of 120411010434 is 434010114021.

It is a super-4 number, since 4×120411010434⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 120411010434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4459294 + ... + 4486214.

It is an arithmetic number, because the mean of its divisors is an integer number (2970815778).

Almost surely, 2^120411010434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120411010434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142599157344).

120411010434 is an abundant number, since it is smaller than the sum of its proper divisors (164787304254).

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

120411010434 is a wasteful number, since it uses less digits than its factorization.

120411010434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27364 (or 27351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 120411010434 its reverse (434010114021), we get a palindrome (554421124455).

The spelling of 120411010434 in words is "one hundred twenty billion, four hundred eleven million, ten thousand, four hundred thirty-four".