10033410108672 has 54 divisors (see below), whose sum is σ = 28928794864242. Its totient is φ = 3344470035456.

The previous prime is 10033410108637. The next prime is 10033410108677. The reversal of 10033410108672 is 27680101433001.

It is a happy number.

10033410108672 is a `hidden beast` number, since 100 + 33 + 410 + 108 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10029534299136 + 3875809536 = 3166944^2 + 62256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033410108677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2177387043 + ... + 2177391650.

Almost surely, 2^{10033410108672} is an apocalyptic number.

10033410108672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033410108672 is an abundant number, since it is smaller than the sum of its proper divisors (18895384755570).

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

10033410108672 is an equidigital number, since it uses as much as digits as its factorization.

10033410108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354778715 (or 4354778698 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10033410108672 in words is "ten trillion, thirty-three billion, four hundred ten million, one hundred eight thousand, six hundred seventy-two".