4044630506112 has 768 divisors, whose sum is σ = 14806676102400. Its totient is φ = 1072661004288.

The previous prime is 4044630506101. The next prime is 4044630506149. The reversal of 4044630506112 is 2116050364404.

4044630506112 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 6 + 30 + 5 + 0 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270192964 + ... + 270207932.

It is an arithmetic number, because the mean of its divisors is an integer number (19279526175).

Almost surely, 2^{4044630506112} is an apocalyptic number.

4044630506112 is a gapful number since it is divisible by the number (42) 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 4044630506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403338051200).

4044630506112 is an abundant number, since it is smaller than the sum of its proper divisors (10762045596288).

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

4044630506112 is a wasteful number, since it uses less digits than its factorization.

4044630506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4044630506112 in words is "four trillion, forty-four billion, six hundred thirty million, five hundred six thousand, one hundred twelve".