40320412004201 has 32 divisors (see below), whose sum is σ = 48443656366080. Its totient is φ = 32810531250816.

The previous prime is 40320412004167. The next prime is 40320412004203. The reversal of 40320412004201 is 10240021402304.

It is not a de Polignac number, because 40320412004201 - 2¹⁰ = 40320412003177 is a prime.

It is a super-3 number, since 3×40320412004201³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 31 ways as a sum of consecutive naturals, for example, 124659050 + ... + 124982076.

It is an arithmetic number, because the mean of its divisors is an integer number (1513864261440).

Almost surely, 2^{40320412004201} is an apocalyptic number.

It is an amenable number.

40320412004201 is a deficient number, since it is larger than the sum of its proper divisors (8123244361879).

40320412004201 is a wasteful number, since it uses less digits than its factorization.

40320412004201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328853.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 40320412004201 its reverse (10240021402304), we get a palindrome (50560433406505).

The spelling of 40320412004201 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, two hundred one".