404431031040000 has 240 divisors, whose sum is σ = 1347343034997960. Its totient is φ = 107848273920000.

The previous prime is 404431031039989. The next prime is 404431031040011. The reversal of 404431031040000 is 40130134404.

It is an interprime number because it is at equal distance from previous prime (404431031039989) and next prime (404431031040011).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48820291 + ... + 56500290.

Almost surely, 2^{404431031040000} is an apocalyptic number.

404431031040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404431031040000 is an abundant number, since it is smaller than the sum of its proper divisors (942912003957960).

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

404431031040000 is an equidigital number, since it uses as much as digits as its factorization.

404431031040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105320626 (or 105320591 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 404431031040000 its reverse (40130134404), we get a palindrome (404471161174404).

The spelling of 404431031040000 in words is "four hundred four trillion, four hundred thirty-one billion, thirty-one million, forty thousand".