11541040 has 80 divisors (see below), whose sum is σ = 31551552. Its totient is φ = 3843072.

The previous prime is 11541001. The next prime is 11541053. The reversal of 11541040 is 4014511.

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 (16).

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, 20442 + ... + 20998.

Almost surely, 2^11541040 is an apocalyptic number.

11541040 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 11541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775776).

11541040 is an abundant number, since it is smaller than the sum of its proper divisors (20010512).

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

11541040 is a wasteful number, since it uses less digits than its factorization.

11541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11541040 is about 3397.2106204944. The cubic root of 11541040 is about 225.9860591291.

Adding to 11541040 its reverse (4014511), we get a palindrome (15555551).

The spelling of 11541040 in words is "eleven million, five hundred forty-one thousand, forty".