11353404540 has 96 divisors (see below), whose sum is σ = 32508786240. Its totient is φ = 2959497216.

The previous prime is 11353404523. The next prime is 11353404541. The reversal of 11353404540 is 4540435311.

It is a super-2 number, since 2×11353404540² (a number of 21 digits) contains 22 as substring.

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 = 11353404498 and 11353404507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353404541) 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, 874416 + ... + 887304.

It is an arithmetic number, because the mean of its divisors is an integer number (338633190).

Almost surely, 2^11353404540 is an apocalyptic number.

11353404540 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 11353404540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254393120).

11353404540 is an abundant number, since it is smaller than the sum of its proper divisors (21155381700).

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

11353404540 is a wasteful number, since it uses less digits than its factorization.

11353404540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11353404540 its reverse (4540435311), we get a palindrome (15893839851).

The spelling of 11353404540 in words is "eleven billion, three hundred fifty-three million, four hundred four thousand, five hundred forty".