120400324440 has 128 divisors (see below), whose sum is σ = 395492613120. Its totient is φ = 29080166400.

The previous prime is 120400324417. The next prime is 120400324441. The reversal of 120400324440 is 44423004021.

It is a happy number.

It is a super-2 number, since 2×120400324440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120400324440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400324441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189432 + ... + 526008.

It is an arithmetic number, because the mean of its divisors is an integer number (3089786040).

Almost surely, 2^120400324440 is an apocalyptic number.

120400324440 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 120400324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197746306560).

120400324440 is an abundant number, since it is smaller than the sum of its proper divisors (275092288680).

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

120400324440 is a wasteful number, since it uses less digits than its factorization.

120400324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336873 (or 336869 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 120400324440 its reverse (44423004021), we get a palindrome (164823328461).

The spelling of 120400324440 in words is "one hundred twenty billion, four hundred million, three hundred twenty-four thousand, four hundred forty".