2404130317120 has 224 divisors, whose sum is σ = 6635956174848. Its totient is φ = 812592801792.

The previous prime is 2404130317117. The next prime is 2404130317189. The reversal of 2404130317120 is 217130314042.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 51427197 + ... + 51473923.

It is an arithmetic number, because the mean of its divisors is an integer number (29624804352).

Almost surely, 2^{2404130317120} is an apocalyptic number.

2404130317120 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 2404130317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317978087424).

2404130317120 is an abundant number, since it is smaller than the sum of its proper divisors (4231825857728).

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

2404130317120 is a wasteful number, since it uses less digits than its factorization.

2404130317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47077 (or 47067 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 2404130317120 in words is "two trillion, four hundred four billion, one hundred thirty million, three hundred seventeen thousand, one hundred twenty".