10948441371040 has 36 divisors (see below), whose sum is σ = 25865791619346. Its totient is φ = 4379359806848.

The previous prime is 10948441371029. The next prime is 10948441371073. The reversal of 10948441371040 is 4017314484901.

10948441371040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9853597233936 + 1094844137104 = 3139044^2 + 1046348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41723127 + ... + 41984713.

Almost surely, 2^{10948441371040} is an apocalyptic number.

10948441371040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10948441371040 is an abundant number, since it is smaller than the sum of its proper divisors (14917350248306).

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

10948441371040 is an frugal number, since it uses more digits than its factorization.

10948441371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523189 (or 261594 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 10948441371040 in words is "ten trillion, nine hundred forty-eight billion, four hundred forty-one million, three hundred seventy-one thousand, forty".