40040334344120 has 256 divisors, whose sum is σ = 104990158540800. Its totient is φ = 13599290880000.

The previous prime is 40040334344081. The next prime is 40040334344123. The reversal of 40040334344120 is 2144343304004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040334344123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1098451895 + ... + 1098488345.

It is an arithmetic number, because the mean of its divisors is an integer number (410117806800).

Almost surely, 2^{40040334344120} is an apocalyptic number.

40040334344120 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 40040334344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52495079270400).

40040334344120 is an abundant number, since it is smaller than the sum of its proper divisors (64949824196680).

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

40040334344120 is a wasteful number, since it uses less digits than its factorization.

40040334344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39310 (or 39306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 40040334344120 its reverse (2144343304004), we get a palindrome (42184677648124).

The spelling of 40040334344120 in words is "forty trillion, forty billion, three hundred thirty-four million, three hundred forty-four thousand, one hundred twenty".