9105409440 has 288 divisors, whose sum is σ = 33014532096. Its totient is φ = 2277335040.

The previous prime is 9105409429. The next prime is 9105409447. The reversal of 9105409440 is 449045019.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9105409440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9105409395 and 9105409404.

It is not an unprimeable number, because it can be changed into a prime (9105409447) 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, 10550449 + ... + 10551311.

It is an arithmetic number, because the mean of its divisors is an integer number (114633792).

Almost surely, 2^9105409440 is an apocalyptic number.

9105409440 is a gapful number since it is divisible by the number (90) 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 9105409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507266048).

9105409440 is an abundant number, since it is smaller than the sum of its proper divisors (23909122656).

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

9105409440 is a wasteful number, since it uses less digits than its factorization.

9105409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9105409440 is about 95422.2690989897. The cubic root of 9105409440 is about 2088.1730820542.

The spelling of 9105409440 in words is "nine billion, one hundred five million, four hundred nine thousand, four hundred forty".