40233144434020 has 192 divisors, whose sum is σ = 92400635980800. Its totient is φ = 14664047984640.

The previous prime is 40233144433967. The next prime is 40233144434027. The reversal of 40233144434020 is 2043444133204.

It is a super-2 number, since 2×40233144434020² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40233144434027) 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 63 ways as a sum of consecutive naturals, for example, 1256131366 + ... + 1256163394.

It is an arithmetic number, because the mean of its divisors is an integer number (481253312400).

Almost surely, 2^{40233144434020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40233144434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46200317990400).

40233144434020 is an abundant number, since it is smaller than the sum of its proper divisors (52167491546780).

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

40233144434020 is a wasteful number, since it uses less digits than its factorization.

40233144434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33318 (or 33316 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 40233144434020 its reverse (2043444133204), we get a palindrome (42276588567224).

The spelling of 40233144434020 in words is "forty trillion, two hundred thirty-three billion, one hundred forty-four million, four hundred thirty-four thousand, twenty".