40241311314204 has 192 divisors, whose sum is σ = 129477998748672. Its totient is φ = 9387502387200.

The previous prime is 40241311314179. The next prime is 40241311314223.

It is a happy number.

40241311314204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40241311314204² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44827077 + ... + 45715964.

It is an arithmetic number, because the mean of its divisors is an integer number (674364576816).

Almost surely, 2^{40241311314204} is an apocalyptic number.

40241311314204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40241311314204 is an abundant number, since it is smaller than the sum of its proper divisors (89236687434468).

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

40241311314204 is a wasteful number, since it uses less digits than its factorization.

40241311314204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90543116 (or 90543114 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, 4024131 and 1314204, that added together give a palindrome (5338335).

The spelling of 40241311314204 in words is "forty trillion, two hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, two hundred four".