404801973840 has 160 divisors (see below), whose sum is σ = 1374649195392. Its totient is φ = 97726464000.

The previous prime is 404801973803. The next prime is 404801973857. The reversal of 404801973840 is 48379108404.

It is a super-3 number, since 3×404801973840³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 404801973840.

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 31 ways as a sum of consecutive naturals, for example, 318120 + ... + 954360.

Almost surely, 2^404801973840 is an apocalyptic number.

404801973840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 636240×636241.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404801973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687324597696).

404801973840 is an abundant number, since it is smaller than the sum of its proper divisors (969847221552).

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

404801973840 is a wasteful number, since it uses less digits than its factorization.

404801973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636509 (or 636503 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 404801973840 in words is "four hundred four billion, eight hundred one million, nine hundred seventy-three thousand, eight hundred forty".