11526440340 has 192 divisors, whose sum is σ = 35090496000. Its totient is φ = 2818185216.

The previous prime is 11526440291. The next prime is 11526440347. The reversal of 11526440340 is 4304462511.

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 = 11526440298 and 11526440307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11526440347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5962014 + ... + 5963946.

It is an arithmetic number, because the mean of its divisors is an integer number (182763000).

Almost surely, 2^11526440340 is an apocalyptic number.

11526440340 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 11526440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545248000).

11526440340 is an abundant number, since it is smaller than the sum of its proper divisors (23564055660).

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

11526440340 is a wasteful number, since it uses less digits than its factorization.

11526440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 11526440340 in words is "eleven billion, five hundred twenty-six million, four hundred forty thousand, three hundred forty".