40424122413444 has 384 divisors, whose sum is σ = 132289930321920. Its totient is φ = 9283496140800.

The previous prime is 40424122413421. The next prime is 40424122413449. The reversal of 40424122413444 is 44431422142404.

40424122413444 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 2×40424122413444² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40424122413449) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 15655489 + ... + 18053879.

It is an arithmetic number, because the mean of its divisors is an integer number (344505026880).

Almost surely, 2^{40424122413444} is an apocalyptic number.

40424122413444 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 40424122413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66144965160960).

40424122413444 is an abundant number, since it is smaller than the sum of its proper divisors (91865807908476).

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

40424122413444 is a wasteful number, since it uses less digits than its factorization.

40424122413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398499 (or 2398497 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 40424122413444 its reverse (44431422142404), we get a palindrome (84855544555848).

The spelling of 40424122413444 in words is "forty trillion, four hundred twenty-four billion, one hundred twenty-two million, four hundred thirteen thousand, four hundred forty-four".