40320412004225 has 24 divisors (see below), whose sum is σ = 53806170669048. Its totient is φ = 29861211571200.

The previous prime is 40320412004207. The next prime is 40320412004251. The reversal of 40320412004225 is 52240021402304.

It can be written as a sum of positive squares in 12 ways, for example, as 8964712656769 + 31355699347456 = 2994113^2 + 5599616^2 .

It is not a de Polignac number, because 40320412004225 - 2¹⁶ = 40320411938689 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777609794 + ... + 777661643.

It is an arithmetic number, because the mean of its divisors is an integer number (2241923777877).

Almost surely, 2^{40320412004225} is an apocalyptic number.

It is an amenable number.

40320412004225 is a deficient number, since it is larger than the sum of its proper divisors (13485758664823).

40320412004225 is a wasteful number, since it uses less digits than its factorization.

40320412004225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555271525 (or 1555271520 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 40320412004225 its reverse (52240021402304), we get a palindrome (92560433406529).

The spelling of 40320412004225 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, two hundred twenty-five".