404488008000 has 168 divisors, whose sum is σ = 1446921276840. Its totient is φ = 107863449600.

The previous prime is 404488007977. The next prime is 404488008007. The reversal of 404488008000 is 800884404.

It can be written as a sum of positive squares in 4 ways, for example, as 80025620544 + 324462387456 = 282888^2 + 569616^2 .

It is a super-2 number, since 2×404488008000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404488008007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736945 + ... + 2880944.

Almost surely, 2^404488008000 is an apocalyptic number.

404488008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404488008000 is an abundant number, since it is smaller than the sum of its proper divisors (1042433268840).

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

404488008000 is a wasteful number, since it uses less digits than its factorization.

404488008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617922 (or 5617899 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 404488008000 in words is "four hundred four billion, four hundred eighty-eight million, eight thousand".