11253415040 has 128 divisors (see below), whose sum is σ = 30835987200. Its totient is φ = 3847016448.

The previous prime is 11253415031. The next prime is 11253415049. The reversal of 11253415040 is 4051435211.

It is an interprime number because it is at equal distance from previous prime (11253415031) and next prime (11253415049).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11253415049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604822 + ... + 1611818.

It is an arithmetic number, because the mean of its divisors is an integer number (240906150).

Almost surely, 2^11253415040 is an apocalyptic number.

11253415040 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 11253415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417993600).

11253415040 is an abundant number, since it is smaller than the sum of its proper divisors (19582572160).

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

11253415040 is an equidigital number, since it uses as much as digits as its factorization.

11253415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 11253415040 in words is "eleven billion, two hundred fifty-three million, four hundred fifteen thousand, forty".