40014433421120 has 112 divisors (see below), whose sum is σ = 96711351408000. Its totient is φ = 15767663155200.

The previous prime is 40014433421107. The next prime is 40014433421129. The reversal of 40014433421120 is 2112433441004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014433421129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3320951 + ... + 9542409.

It is an arithmetic number, because the mean of its divisors is an integer number (863494209000).

Almost surely, 2^{40014433421120} is an apocalyptic number.

40014433421120 is a gapful number since it is divisible by the number (40) 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 40014433421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48355675704000).

40014433421120 is an abundant number, since it is smaller than the sum of its proper divisors (56696917986880).

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

40014433421120 is a wasteful number, since it uses less digits than its factorization.

40014433421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221776 (or 6221766 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 40014433421120 its reverse (2112433441004), we get a palindrome (42126866862124).

The spelling of 40014433421120 in words is "forty trillion, fourteen billion, four hundred thirty-three million, four hundred twenty-one thousand, one hundred twenty".