404431739712 has 1680 divisors, whose sum is σ = 1715332469760. Its totient is φ = 88318771200.

The previous prime is 404431739707. The next prime is 404431739717. The reversal of 404431739712 is 217937134404.

404431739712 is a `hidden beast` number, since 40 + 443 + 1 + 73 + 97 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (404431739707) and next prime (404431739717).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404431739717) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13046185137 + ... + 13046185167.

It is an arithmetic number, because the mean of its divisors is an integer number (1021031232).

Almost surely, 2^404431739712 is an apocalyptic number.

404431739712 is a gapful number since it is divisible by the number (42) 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 404431739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857666234880).

404431739712 is an abundant number, since it is smaller than the sum of its proper divisors (1310900730048).

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

404431739712 is a wasteful number, since it uses less digits than its factorization.

404431739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 404431739712 in words is "four hundred four billion, four hundred thirty-one million, seven hundred thirty-nine thousand, seven hundred twelve".