4137728568960 has 256 divisors, whose sum is σ = 15866478950400. Its totient is φ = 895989288960.

The previous prime is 4137728568889. The next prime is 4137728568983. The reversal of 4137728568960 is 698658277314.

It is a junction number, because it is equal to n+sod(n) for n = 4137728568891 and 4137728568900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7846396 + ... + 8357115.

It is an arithmetic number, because the mean of its divisors is an integer number (61978433400).

It is a 1-persistent number, because it is pandigital, but 2⋅4137728568960 = 8275457137920 is not.

Almost surely, 2^{4137728568960} is an apocalyptic number.

4137728568960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4137728568960 is an abundant number, since it is smaller than the sum of its proper divisors (11728750381440).

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

4137728568960 is a wasteful number, since it uses less digits than its factorization.

4137728568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16203559 (or 16203547 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 4137728568960 in words is "four trillion, one hundred thirty-seven billion, seven hundred twenty-eight million, five hundred sixty-eight thousand, nine hundred sixty".