9105408000 has 768 divisors, whose sum is σ = 37213394400. Its totient is φ = 2123366400.

The previous prime is 9105407951. The next prime is 9105408001. The reversal of 9105408000 is 8045019.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9105408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479231991 + ... + 479232009.

Almost surely, 2^9105408000 is an apocalyptic number.

9105408000 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 9105408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606697200).

9105408000 is an abundant number, since it is smaller than the sum of its proper divisors (28107986400).

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

9105408000 is a wasteful number, since it uses less digits than its factorization.

9105408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9105408000 is about 95422.2615535809. The cubic root of 9105408000 is about 2088.1729719742.

The spelling of 9105408000 in words is "nine billion, one hundred five million, four hundred eight thousand".