80040501008640 has 1440 divisors, whose sum is σ = 307197776793600. Its totient is φ = 19854378270720.

The previous prime is 80040501008551. The next prime is 80040501008641. The reversal of 80040501008640 is 4680010504008.

80040501008640 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 0 + 5 + 0 + 1 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 80040501008595 and 80040501008604.

It is not an unprimeable number, because it can be changed into a prime (80040501008641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22276786684 + ... + 22276790276.

It is an arithmetic number, because the mean of its divisors is an integer number (213331789440).

Almost surely, 2^{80040501008640} is an apocalyptic number.

80040501008640 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 80040501008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153598888396800).

80040501008640 is an abundant number, since it is smaller than the sum of its proper divisors (227157275784960).

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

80040501008640 is a wasteful number, since it uses less digits than its factorization.

80040501008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 80040501008640 in words is "eighty trillion, forty billion, five hundred one million, eight thousand, six hundred forty".