10049276944 has 120 divisors (see below), whose sum is σ = 23326126080. Its totient is φ = 4107594240.

The previous prime is 10049276933. The next prime is 10049276959. The reversal of 10049276944 is 44967294001.

10049276944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10049276894 and 10049276903.

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 23 ways as a sum of consecutive naturals, for example, 7856497 + ... + 7857775.

It is an arithmetic number, because the mean of its divisors is an integer number (194384384).

Almost surely, 2^10049276944 is an apocalyptic number.

10049276944 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 10049276944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663063040).

10049276944 is an abundant number, since it is smaller than the sum of its proper divisors (13276849136).

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

10049276944 is a wasteful number, since it uses less digits than its factorization.

10049276944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 10049276944 in words is "ten billion, forty-nine million, two hundred seventy-six thousand, nine hundred forty-four".