412430524000 has 192 divisors, whose sum is σ = 1126327954752. Its totient is φ = 147144192000.

The previous prime is 412430523983. The next prime is 412430524001. The reversal of 412430524000 is 425034214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412430524001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243572 + ... + 2420428.

It is an arithmetic number, because the mean of its divisors is an integer number (5866291431).

Almost surely, 2^412430524000 is an apocalyptic number.

412430524000 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 412430524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563163977376).

412430524000 is an abundant number, since it is smaller than the sum of its proper divisors (713897430752).

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

412430524000 is a wasteful number, since it uses less digits than its factorization.

412430524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176946 (or 176928 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 412430524000 its reverse (425034214), we get a palindrome (412855558214).

The spelling of 412430524000 in words is "four hundred twelve billion, four hundred thirty million, five hundred twenty-four thousand".