11375965440 has 432 divisors, whose sum is σ = 45916416000. Its totient is φ = 2599317504.

The previous prime is 11375965409. The next prime is 11375965441. The reversal of 11375965440 is 4456957311.

11375965440 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 596 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11375965441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3949921 + ... + 3952799.

It is an arithmetic number, because the mean of its divisors is an integer number (106288000).

Almost surely, 2^11375965440 is an apocalyptic number.

11375965440 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 11375965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208000).

11375965440 is an abundant number, since it is smaller than the sum of its proper divisors (34540450560).

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

11375965440 is an equidigital number, since it uses as much as digits as its factorization.

11375965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 11375965440 in words is "eleven billion, three hundred seventy-five million, nine hundred sixty-five thousand, four hundred forty".