40320412004200 has 48 divisors (see below), whose sum is σ = 93770289260460. Its totient is φ = 16123806720000.

The previous prime is 40320412004167. The next prime is 40320412004203. The reversal of 40320412004200 is 240021402304.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27632411275716 + 12688000728484 = 5256654^2 + 3562022^2 .

It is not an unprimeable number, because it can be changed into a prime (40320412004203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26495961 + ... + 27976360.

Almost surely, 2^{40320412004200} is an apocalyptic number.

40320412004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40320412004200 is an abundant number, since it is smaller than the sum of its proper divisors (53449877256260).

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

40320412004200 is a wasteful number, since it uses less digits than its factorization.

40320412004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54476038 (or 54476029 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40320412004200 its reverse (240021402304), we get a palindrome (40560433406504).

The spelling of 40320412004200 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, two hundred".