40320412004224 has 256 divisors, whose sum is σ = 92358602265600. Its totient is φ = 17354419568640.

The previous prime is 40320412004207. The next prime is 40320412004251. The reversal of 40320412004224 is 42240021402304.

40320412004224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40320412004192 and 40320412004201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4578218829 + ... + 4578227635.

It is an arithmetic number, because the mean of its divisors is an integer number (360775790100).

Almost surely, 2^{40320412004224} is an apocalyptic number.

40320412004224 is a gapful number since it is divisible by the number (44) 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 40320412004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46179301132800).

40320412004224 is an abundant number, since it is smaller than the sum of its proper divisors (52038190261376).

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

40320412004224 is a wasteful number, since it uses less digits than its factorization.

40320412004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10261 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40320412004224 its reverse (42240021402304), we get a palindrome (82560433406528).

The spelling of 40320412004224 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, two hundred twenty-four".