4411292130 has 512 divisors, whose sum is σ = 15206400000. Its totient is φ = 905313024.

The previous prime is 4411292101. The next prime is 4411292143. The reversal of 4411292130 is 312921144.

It is a happy number.

4411292130 is a `hidden beast` number, since 441 + 1 + 2 + 9 + 213 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4411292094 and 4411292103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40470516 + ... + 40470624.

It is an arithmetic number, because the mean of its divisors is an integer number (29700000).

Almost surely, 2^4411292130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411292130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200000).

4411292130 is an abundant number, since it is smaller than the sum of its proper divisors (10795107870).

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

4411292130 is a wasteful number, since it uses less digits than its factorization.

4411292130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4411292130 is about 66417.5588982311. The cubic root of 4411292130 is about 1640.0431440663.

The spelling of 4411292130 in words is "four billion, four hundred eleven million, two hundred ninety-two thousand, one hundred thirty".