412325004000 has 2304 divisors, whose sum is σ = 1897316628480. Its totient is φ = 77104742400.

The previous prime is 412325003977. The next prime is 412325004041. The reversal of 412325004000 is 400523214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2469011917 + ... + 2469012083.

It is an arithmetic number, because the mean of its divisors is an integer number (823488120).

Almost surely, 2^412325004000 is an apocalyptic number.

412325004000 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 412325004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948658314240).

412325004000 is an abundant number, since it is smaller than the sum of its proper divisors (1484991624480).

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

412325004000 is a wasteful number, since it uses less digits than its factorization.

412325004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 412325004000 its reverse (400523214), we get a palindrome (412725527214).

The spelling of 412325004000 in words is "four hundred twelve billion, three hundred twenty-five million, four thousand".