40130242122344 has 64 divisors (see below), whose sum is σ = 82579302973440. Its totient is φ = 18131090535360.

The previous prime is 40130242122337. The next prime is 40130242122353. The reversal of 40130242122344 is 44322124203104.

It is a happy number.

40130242122344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40130242122344² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40130242122344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666330617 + ... + 666390839.

It is an arithmetic number, because the mean of its divisors is an integer number (1290301608960).

Almost surely, 2^{40130242122344} is an apocalyptic number.

40130242122344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40130242122344 is an abundant number, since it is smaller than the sum of its proper divisors (42449060851096).

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

40130242122344 is a wasteful number, since it uses less digits than its factorization.

40130242122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105750 (or 105746 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40130242122344 its reverse (44322124203104), we get a palindrome (84452366325448).

The spelling of 40130242122344 in words is "forty trillion, one hundred thirty billion, two hundred forty-two million, one hundred twenty-two thousand, three hundred forty-four".