9164413440 has 1280 divisors, whose sum is σ = 42237296640. Its totient is φ = 1831403520.

The previous prime is 9164413421. The next prime is 9164413459. The reversal of 9164413440 is 443144619.

It is a happy number.

9164413440 is a `hidden beast` number, since 9 + 1 + 644 + 1 + 3 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9164413421) and next prime (9164413459).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 9164413395 and 9164413404.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 194987497 + ... + 194987543.

It is an arithmetic number, because the mean of its divisors is an integer number (32997888).

Almost surely, 2^9164413440 is an apocalyptic number.

9164413440 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 9164413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118648320).

9164413440 is an abundant number, since it is smaller than the sum of its proper divisors (33072883200).

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

9164413440 is a wasteful number, since it uses less digits than its factorization.

9164413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9164413440 is about 95730.9429599437. The cubic root of 9164413440 is about 2092.6739003223.

The spelling of 9164413440 in words is "nine billion, one hundred sixty-four million, four hundred thirteen thousand, four hundred forty".