4005382478130 has 384 divisors, whose sum is σ = 12314319252480. Its totient is φ = 924644160000.

The previous prime is 4005382478129. The next prime is 4005382478189. The reversal of 4005382478130 is 318742835004.

4005382478130 is a `hidden beast` number, since 4 + 0 + 0 + 538 + 2 + 4 + 7 + 81 + 30 = 666.

It is a super-2 number, since 2×4005382478130² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56777880 + ... + 56848380.

It is an arithmetic number, because the mean of its divisors is an integer number (32068539720).

Almost surely, 2^{4005382478130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005382478130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157159626240).

4005382478130 is an abundant number, since it is smaller than the sum of its proper divisors (8308936774350).

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

4005382478130 is a wasteful number, since it uses less digits than its factorization.

4005382478130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70623 (or 70606 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4005382478130 in words is "four trillion, five billion, three hundred eighty-two million, four hundred seventy-eight thousand, one hundred thirty".