4003747028960 has 288 divisors, whose sum is σ = 11864780635680. Its totient is φ = 1268744601600.

The previous prime is 4003747028959. The next prime is 4003747029011. The reversal of 4003747028960 is 698207473004.

It is a junction number, because it is equal to n+sod(n) for n = 4003747028899 and 4003747028908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5779580 + ... + 6435140.

It is an arithmetic number, because the mean of its divisors is an integer number (41197154985).

Almost surely, 2^{4003747028960} is an apocalyptic number.

4003747028960 is a gapful number since it is divisible by the number (40) 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 4003747028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932390317840).

4003747028960 is an abundant number, since it is smaller than the sum of its proper divisors (7861033606720).

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

4003747028960 is a wasteful number, since it uses less digits than its factorization.

4003747028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655650 (or 655635 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 4003747028960 in words is "four trillion, three billion, seven hundred forty-seven million, twenty-eight thousand, nine hundred sixty".