4330900468944 has 300 divisors, whose sum is σ = 14605158735684. Its totient is φ = 1235383446528.

The previous prime is 4330900468943. The next prime is 4330900468967. The reversal of 4330900468944 is 4498640090334.

4330900468944 is a `hidden beast` number, since 4 + 3 + 3 + 0 + 90 + 0 + 468 + 94 + 4 = 666.

4330900468944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1280246990400 + 3050653478544 = 1131480^2 + 1746612^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330900468943) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39126702 + ... + 39237234.

Almost surely, 2^{4330900468944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330900468944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302579367842).

4330900468944 is an abundant number, since it is smaller than the sum of its proper divisors (10274258266740).

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

4330900468944 is a wasteful number, since it uses less digits than its factorization.

4330900468944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111184 (or 111162 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4330900468944 in words is "four trillion, three hundred thirty billion, nine hundred million, four hundred sixty-eight thousand, nine hundred forty-four".