10004377310740 has 24 divisors (see below), whose sum is σ = 21225781968552. Its totient is φ = 3960495759360.

The previous prime is 10004377310561. The next prime is 10004377310747. The reversal of 10004377310740 is 4701377340001.

It can be written as a sum of positive squares in 4 ways, for example, as 2281658586256 + 7722718724484 = 1510516^2 + 2778978^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10004377310740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004377310747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2578445821 + ... + 2578449700.

It is an arithmetic number, because the mean of its divisors is an integer number (884407582023).

Almost surely, 2^{10004377310740} is an apocalyptic number.

10004377310740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004377310740 is an abundant number, since it is smaller than the sum of its proper divisors (11221404657812).

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

10004377310740 is a wasteful number, since it uses less digits than its factorization.

10004377310740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156895627 (or 5156895625 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 10004377310740 in words is "ten trillion, four billion, three hundred seventy-seven million, three hundred ten thousand, seven hundred forty".