40211344311204 has 48 divisors (see below), whose sum is σ = 105122531578176. Its totient is φ = 11855924611200.

The previous prime is 40211344311199. The next prime is 40211344311221.

It is a happy number.

40211344311204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40211344311204² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116635607 + ... + 4116645374.

It is an arithmetic number, because the mean of its divisors is an integer number (2190052741212).

Almost surely, 2^{40211344311204} is an apocalyptic number.

40211344311204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40211344311204 is an abundant number, since it is smaller than the sum of its proper divisors (64911187266972).

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

40211344311204 is a wasteful number, since it uses less digits than its factorization.

40211344311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233281036 (or 8233281034 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4021134 and 4311204, that added together give a palindrome (8332338).

The spelling of 40211344311204 in words is "forty trillion, two hundred eleven billion, three hundred forty-four million, three hundred eleven thousand, two hundred four".