11034039744 has 252 divisors, whose sum is σ = 39141934416. Its totient is φ = 2909896704.

The previous prime is 11034039661. The next prime is 11034039763. The reversal of 11034039744 is 44793043011.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11034039699 and 11034039708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 673312 + ... + 689504.

Almost surely, 2^11034039744 is an apocalyptic number.

11034039744 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 11034039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570967208).

11034039744 is an abundant number, since it is smaller than the sum of its proper divisors (28107894672).

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

11034039744 is a wasteful number, since it uses less digits than its factorization.

11034039744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16244 (or 16218 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11034039744 in words is "eleven billion, thirty-four million, thirty-nine thousand, seven hundred forty-four".