8455209840 has 640 divisors, whose sum is σ = 37583308800. Its totient is φ = 1695375360.

The previous prime is 8455209821. The next prime is 8455209857. The reversal of 8455209840 is 489025548.

8455209840 is a `hidden beast` number, since 8 + 4 + 552 + 0 + 98 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 4822404 + ... + 4824156.

It is an arithmetic number, because the mean of its divisors is an integer number (58723920).

Almost surely, 2^8455209840 is an apocalyptic number.

8455209840 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 8455209840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18791654400).

8455209840 is an abundant number, since it is smaller than the sum of its proper divisors (29128098960).

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

8455209840 is a wasteful number, since it uses less digits than its factorization.

8455209840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8455209840 is about 91952.2149814783. The cubic root of 8455209840 is about 2037.2365697036.

The spelling of 8455209840 in words is "eight billion, four hundred fifty-five million, two hundred nine thousand, eight hundred forty".