8404197120 has 360 divisors, whose sum is σ = 32810001840. Its totient is φ = 2037104640.

The previous prime is 8404197101. The next prime is 8404197143. The reversal of 8404197120 is 217914048.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1136796 + ... + 1144164.

It is an arithmetic number, because the mean of its divisors is an integer number (91138894).

Almost surely, 2^8404197120 is an apocalyptic number.

8404197120 is a gapful number since it is divisible by the number (80) 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 8404197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405000920).

8404197120 is an abundant number, since it is smaller than the sum of its proper divisors (24405804720).

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

8404197120 is a wasteful number, since it uses less digits than its factorization.

8404197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8404197120 is about 91674.4082064346. The cubic root of 8404197120 is about 2033.1312237227.

The spelling of 8404197120 in words is "eight billion, four hundred four million, one hundred ninety-seven thousand, one hundred twenty".