10737406034000 has 40 divisors (see below), whose sum is σ = 25963047795048. Its totient is φ = 4294962412800.

The previous prime is 10737406033969. The next prime is 10737406034077. The reversal of 10737406034000 is 43060473701.

It can be written as a sum of positive squares in 4 ways, for example, as 2843958451216 + 7893447582784 = 1686404^2 + 2809528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2684349509 + ... + 2684353508.

Almost surely, 2^{10737406034000} is an apocalyptic number.

10737406034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10737406034000 is an abundant number, since it is smaller than the sum of its proper divisors (15225641761048).

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

10737406034000 is an equidigital number, since it uses as much as digits as its factorization.

10737406034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368703040 (or 5368703024 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 10737406034000 in words is "ten trillion, seven hundred thirty-seven billion, four hundred six million, thirty-four thousand".