40221300312204 has 384 divisors, whose sum is σ = 109295391744000. Its totient is φ = 11397108602880.

The previous prime is 40221300312187. The next prime is 40221300312209.

It is a happy number.

40221300312204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40221300312209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10252687387 + ... + 10252691309.

It is an arithmetic number, because the mean of its divisors is an integer number (284623416000).

Almost surely, 2^{40221300312204} is an apocalyptic number.

40221300312204 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 40221300312204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54647695872000).

40221300312204 is an abundant number, since it is smaller than the sum of its proper divisors (69074091431796).

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

40221300312204 is a wasteful number, since it uses less digits than its factorization.

40221300312204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 40221300 and 312204, that added together give a palindrome (40533504).

The spelling of 40221300312204 in words is "forty trillion, two hundred twenty-one billion, three hundred million, three hundred twelve thousand, two hundred four".