10005430770244 has 96 divisors (see below), whose sum is σ = 21745364256000. Its totient is φ = 3922423764480.

The previous prime is 10005430770227. The next prime is 10005430770271. The reversal of 10005430770244 is 44207703450001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33659982 + ... + 33955930.

It is an arithmetic number, because the mean of its divisors is an integer number (226514211000).

Almost surely, 2^{10005430770244} is an apocalyptic number.

10005430770244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005430770244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872682128000).

10005430770244 is an abundant number, since it is smaller than the sum of its proper divisors (11739933485756).

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

10005430770244 is a wasteful number, since it uses less digits than its factorization.

10005430770244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296813 (or 296811 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 10005430770244 in words is "ten trillion, five billion, four hundred thirty million, seven hundred seventy thousand, two hundred forty-four".