10407728209248 has 72 divisors (see below), whose sum is σ = 29663787790728. Its totient is φ = 3461411446272.

The previous prime is 10407728209231. The next prime is 10407728209283. The reversal of 10407728209248 is 84290282770401.

10407728209248 is a `hidden beast` number, since 1 + 0 + 407 + 7 + 2 + 8 + 209 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 10407728209194 and 10407728209203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40660165 + ... + 40915332.

It is an arithmetic number, because the mean of its divisors is an integer number (411997052649).

Almost surely, 2^{10407728209248} is an apocalyptic number.

10407728209248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10407728209248 is an abundant number, since it is smaller than the sum of its proper divisors (19256059581480).

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

10407728209248 is a wasteful number, since it uses less digits than its factorization.

10407728209248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81575956 (or 81575945 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10407728209248 in words is "ten trillion, four hundred seven billion, seven hundred twenty-eight million, two hundred nine thousand, two hundred forty-eight".