40412221332400 has 60 divisors (see below), whose sum is σ = 97199821862352. Its totient is φ = 16146664165120.

The previous prime is 40412221332377. The next prime is 40412221332409. The reversal of 40412221332400 is 423312221404.

It is not an unprimeable number, because it can be changed into a prime (40412221332409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56595907 + ... + 57305506.

Almost surely, 2^{40412221332400} is an apocalyptic number.

40412221332400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40412221332400 is an abundant number, since it is smaller than the sum of its proper divisors (56787600529952).

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

40412221332400 is a wasteful number, since it uses less digits than its factorization.

40412221332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113902318 (or 113902307 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40412221332400 its reverse (423312221404), we get a palindrome (40835533553804).

The spelling of 40412221332400 in words is "forty trillion, four hundred twelve billion, two hundred twenty-one million, three hundred thirty-two thousand, four hundred".