11145735440 has 80 divisors (see below), whose sum is σ = 29648495232. Its totient is φ = 3817178112.

The previous prime is 11145735437. The next prime is 11145735457. The reversal of 11145735440 is 4453754111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11145735440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519812 + ... + 540828.

Almost surely, 2^11145735440 is an apocalyptic number.

11145735440 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 11145735440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824247616).

11145735440 is an abundant number, since it is smaller than the sum of its proper divisors (18502759792).

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

11145735440 is a wasteful number, since it uses less digits than its factorization.

11145735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21984 (or 21978 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 11145735440 in words is "eleven billion, one hundred forty-five million, seven hundred thirty-five thousand, four hundred forty".