801491977440 has 864 divisors, whose sum is σ = 3585326105088. Its totient is φ = 159297177600.

The previous prime is 801491977421. The next prime is 801491977457. The reversal of 801491977440 is 44779194108.

801491977440 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 9 + 197 + 7 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28038355 + ... + 28066925.

It is an arithmetic number, because the mean of its divisors is an integer number (4149682992).

Almost surely, 2^801491977440 is an apocalyptic number.

801491977440 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 801491977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792663052544).

801491977440 is an abundant number, since it is smaller than the sum of its proper divisors (2783834127648).

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

801491977440 is a wasteful number, since it uses less digits than its factorization.

801491977440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644 (or 28622 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 801491977440 in words is "eight hundred one billion, four hundred ninety-one million, nine hundred seventy-seven thousand, four hundred forty".