2402041434120 has 640 divisors, whose sum is σ = 8461791360000. Its totient is φ = 610527725568.

The previous prime is 2402041434119. The next prime is 2402041434137. The reversal of 2402041434120 is 214341402042.

2402041434120 is a `hidden beast` number, since 2 + 4 + 0 + 204 + 1 + 43 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3387928326 + ... + 3387929034.

It is an arithmetic number, because the mean of its divisors is an integer number (13221549000).

Almost surely, 2^{2402041434120} is an apocalyptic number.

2402041434120 is a gapful number since it is divisible by the number (20) 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 2402041434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230895680000).

2402041434120 is an abundant number, since it is smaller than the sum of its proper divisors (6059749925880).

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

2402041434120 is a wasteful number, since it uses less digits than its factorization.

2402041434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2402041434120 its reverse (214341402042), we get a palindrome (2616382836162).

The spelling of 2402041434120 in words is "two trillion, four hundred two billion, forty-one million, four hundred thirty-four thousand, one hundred twenty".