8410920000 has 1120 divisors, whose sum is σ = 36564295680. Its totient is φ = 1658880000.

The previous prime is 8410919989. The next prime is 8410920029. The reversal of 8410920000 is 290148.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271319985 + ... + 271320015.

Almost surely, 2^8410920000 is an apocalyptic number.

8410920000 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 8410920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18282147840).

8410920000 is an abundant number, since it is smaller than the sum of its proper divisors (28153375680).

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

8410920000 is a wasteful number, since it uses less digits than its factorization.

8410920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8410920000 is about 91711.0680343436. The cubic root of 8410920000 is about 2033.6732090344.

The spelling of 8410920000 in words is "eight billion, four hundred ten million, nine hundred twenty thousand".