11045731440 has 160 divisors (see below), whose sum is σ = 34695904320. Its totient is φ = 2906652672.

The previous prime is 11045731429. The next prime is 11045731447. The reversal of 11045731440 is 4413754011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11045731398 and 11045731407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11045731447) 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, 14363376 + ... + 14364144.

It is an arithmetic number, because the mean of its divisors is an integer number (216849402).

Almost surely, 2^11045731440 is an apocalyptic number.

11045731440 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 11045731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347952160).

11045731440 is an abundant number, since it is smaller than the sum of its proper divisors (23650172880).

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

11045731440 is a wasteful number, since it uses less digits than its factorization.

11045731440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 11045731440 in words is "eleven billion, forty-five million, seven hundred thirty-one thousand, four hundred forty".