412431014000 has 80 divisors (see below), whose sum is σ = 1000133817696. Its totient is φ = 164496704000.

The previous prime is 412431013999. The next prime is 412431014003. The reversal of 412431014000 is 410134214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412431014003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396860 + ... + 991140.

Almost surely, 2^412431014000 is an apocalyptic number.

412431014000 is a gapful number since it is divisible by the number (40) 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 412431014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500066908848).

412431014000 is an abundant number, since it is smaller than the sum of its proper divisors (587702803696).

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

412431014000 is a wasteful number, since it uses less digits than its factorization.

412431014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594651 (or 594635 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 412431014000 its reverse (410134214), we get a palindrome (412841148214).

The spelling of 412431014000 in words is "four hundred twelve billion, four hundred thirty-one million, fourteen thousand".