4053302947008 has 672 divisors, whose sum is σ = 14088057704448. Its totient is φ = 1089685094400.

The previous prime is 4053302946997. The next prime is 4053302947073. The reversal of 4053302947008 is 8007492033504.

4053302947008 is a `hidden beast` number, since 40 + 533 + 0 + 2 + 9 + 4 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 1727013291 + ... + 1727015637.

It is an arithmetic number, because the mean of its divisors is an integer number (20964371584).

Almost surely, 2^{4053302947008} is an apocalyptic number.

4053302947008 is a gapful number since it is divisible by the number (48) 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 4053302947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044028852224).

4053302947008 is an abundant number, since it is smaller than the sum of its proper divisors (10034754757440).

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

4053302947008 is a wasteful number, since it uses less digits than its factorization.

4053302947008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4053302947008 in words is "four trillion, fifty-three billion, three hundred two million, nine hundred forty-seven thousand, eight".