805071421440 has 1632 divisors, whose sum is σ = 3462589638144. Its totient is φ = 170246799360.

The previous prime is 805071421439. The next prime is 805071421487. The reversal of 805071421440 is 44124170508.

It is a happy number.

805071421440 is a `hidden beast` number, since 8 + 0 + 507 + 1 + 4 + 2 + 144 + 0 = 666.

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 = 805071421395 and 805071421404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9699655639 + ... + 9699655721.

Almost surely, 2^805071421440 is an apocalyptic number.

805071421440 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 805071421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731294819072).

805071421440 is an abundant number, since it is smaller than the sum of its proper divisors (2657518216704).

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

805071421440 is a wasteful number, since it uses less digits than its factorization.

805071421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 805071421440 its reverse (44124170508), we get a palindrome (849195591948).

The spelling of 805071421440 in words is "eight hundred five billion, seventy-one million, four hundred twenty-one thousand, four hundred forty".