801409404240 has 480 divisors, whose sum is σ = 2783602838016. Its totient is φ = 206521835520.

The previous prime is 801409404239. The next prime is 801409404283. The reversal of 801409404240 is 42404904108.

801409404240 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 0 + 9 + 404 + 240 = 666.

801409404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 801409404195 and 801409404204.

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, 1298880412 + ... + 1298881028.

Almost surely, 2^801409404240 is an apocalyptic number.

801409404240 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 801409404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391801419008).

801409404240 is an abundant number, since it is smaller than the sum of its proper divisors (1982193433776).

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

801409404240 is a wasteful number, since it uses less digits than its factorization.

801409404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 801409404240 in words is "eight hundred one billion, four hundred nine million, four hundred four thousand, two hundred forty".