412243224001440 has 1152 divisors, whose sum is σ = 1455764505753600. Its totient is φ = 97965362626560.

The previous prime is 412243224001403. The next prime is 412243224001451. The reversal of 412243224001440 is 44100422342214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115119580450 + ... + 115119584030.

It is an arithmetic number, because the mean of its divisors is an integer number (1263684466800).

Almost surely, 2^{412243224001440} is an apocalyptic number.

412243224001440 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 412243224001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727882252876800).

412243224001440 is an abundant number, since it is smaller than the sum of its proper divisors (1043521281752160).

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

412243224001440 is a wasteful number, since it uses less digits than its factorization.

412243224001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 412243224001440 its reverse (44100422342214), we get a palindrome (456343646343654).

The spelling of 412243224001440 in words is "four hundred twelve trillion, two hundred forty-three billion, two hundred twenty-four million, one thousand, four hundred forty".