10011034455044 has 96 divisors (see below), whose sum is σ = 21099323750400. Its totient is φ = 4065688673280.

The previous prime is 10011034455041. The next prime is 10011034455049. The reversal of 10011034455044 is 44055443011001.

It is a self number, because there is not a number n which added to its sum of digits gives 10011034455044.

It is not an unprimeable number, because it can be changed into a prime (10011034455041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23202272 + ... + 23629800.

It is an arithmetic number, because the mean of its divisors is an integer number (219784622400).

Almost surely, 2^{10011034455044} is an apocalyptic number.

10011034455044 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 10011034455044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549661875200).

10011034455044 is an abundant number, since it is smaller than the sum of its proper divisors (11088289295356).

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

10011034455044 is a wasteful number, since it uses less digits than its factorization.

10011034455044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428133 (or 428131 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 10011034455044 its reverse (44055443011001), we get a palindrome (54066477466045).

The spelling of 10011034455044 in words is "ten trillion, eleven billion, thirty-four million, four hundred fifty-five thousand, forty-four".