11354115040 has 96 divisors (see below), whose sum is σ = 28433916000. Its totient is φ = 4269686784.

The previous prime is 11354115029. The next prime is 11354115049. The reversal of 11354115040 is 4051145311.

It is a junction number, because it is equal to n+sod(n) for n = 11354114996 and 11354115014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11354115049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3243211 + ... + 3246709.

It is an arithmetic number, because the mean of its divisors is an integer number (296186625).

Almost surely, 2^11354115040 is an apocalyptic number.

11354115040 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 11354115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14216958000).

11354115040 is an abundant number, since it is smaller than the sum of its proper divisors (17079800960).

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

11354115040 is a wasteful number, since it uses less digits than its factorization.

11354115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 11354115040 in words is "eleven billion, three hundred fifty-four million, one hundred fifteen thousand, forty".