120411010440 has 288 divisors, whose sum is σ = 456800624280. Its totient is φ = 27427405824.

The previous prime is 120411010417. The next prime is 120411010441. The reversal of 120411010440 is 44010114021.

120411010440 is a `hidden beast` number, since 1 + 204 + 1 + 10 + 10 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100579048164 + 19831962276 = 317142^2 + 140826^2 .

It is a super-3 number, since 3×120411010440³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120411010441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5156872 + ... + 5180168.

Almost surely, 2^120411010440 is an apocalyptic number.

120411010440 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 120411010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228400312140).

120411010440 is an abundant number, since it is smaller than the sum of its proper divisors (336389613840).

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

120411010440 is a wasteful number, since it uses less digits than its factorization.

120411010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23621 (or 23607 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120411010440 its reverse (44010114021), we get a palindrome (164421124461).

The spelling of 120411010440 in words is "one hundred twenty billion, four hundred eleven million, ten thousand, four hundred forty".