801340459920 has 1920 divisors, whose sum is σ = 3839954227200. Its totient is φ = 144223027200.

The previous prime is 801340459889. The next prime is 801340459981. The reversal of 801340459920 is 29954043108.

801340459920 is a `hidden beast` number, since 8 + 0 + 1 + 34 + 0 + 4 + 599 + 20 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 1903421310 + ... + 1903421730.

It is an arithmetic number, because the mean of its divisors is an integer number (1999976160).

Almost surely, 2^801340459920 is an apocalyptic number.

801340459920 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 801340459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919977113600).

801340459920 is an abundant number, since it is smaller than the sum of its proper divisors (3038613767280).

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

801340459920 is a wasteful number, since it uses less digits than its factorization.

801340459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 801340459920 in words is "eight hundred one billion, three hundred forty million, four hundred fifty-nine thousand, nine hundred twenty".