412023440000 has 160 divisors (see below), whose sum is σ = 1035882427140. Its totient is φ = 163174400000.

The previous prime is 412023439999. The next prime is 412023440011. The reversal of 412023440000 is 44320214.

It can be written as a sum of positive squares in 10 ways, for example, as 44913477184 + 367109962816 = 211928^2 + 605896^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 8054504 + ... + 8105496.

Almost surely, 2^412023440000 is an apocalyptic number.

412023440000 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 412023440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517941213570).

412023440000 is an abundant number, since it is smaller than the sum of its proper divisors (623858987140).

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

412023440000 is an equidigital number, since it uses as much as digits as its factorization.

412023440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51128 (or 51101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 412023440000 its reverse (44320214), we get a palindrome (412067760214).

The spelling of 412023440000 in words is "four hundred twelve billion, twenty-three million, four hundred forty thousand".