10044272760420 has 192 divisors, whose sum is σ = 28964073600000. Its totient is φ = 2599958974464.

The previous prime is 10044272760419. The next prime is 10044272760427. The reversal of 10044272760420 is 2406727244001.

It is not an unprimeable number, because it can be changed into a prime (10044272760427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71064981 + ... + 71206179.

It is an arithmetic number, because the mean of its divisors is an integer number (150854550000).

Almost surely, 2^{10044272760420} is an apocalyptic number.

10044272760420 is a gapful number since it is divisible by the number (10) 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 10044272760420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482036800000).

10044272760420 is an abundant number, since it is smaller than the sum of its proper divisors (18919800839580).

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

10044272760420 is a wasteful number, since it uses less digits than its factorization.

10044272760420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141542 (or 141540 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 10044272760420 in words is "ten trillion, forty-four billion, two hundred seventy-two million, seven hundred sixty thousand, four hundred twenty".