40505402343040 has 128 divisors (see below), whose sum is σ = 97092718571520. Its totient is φ = 16158770012160.

The previous prime is 40505402342989. The next prime is 40505402343053. The reversal of 40505402343040 is 4034320450504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40505402342987 and 40505402343005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814530657 + ... + 814580383.

It is an arithmetic number, because the mean of its divisors is an integer number (758536863840).

Almost surely, 2^{40505402343040} is an apocalyptic number.

40505402343040 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 40505402343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48546359285760).

40505402343040 is an abundant number, since it is smaller than the sum of its proper divisors (56587316228480).

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

40505402343040 is a wasteful number, since it uses less digits than its factorization.

40505402343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53130 (or 53118 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 40505402343040 its reverse (4034320450504), we get a palindrome (44539722793544).

The spelling of 40505402343040 in words is "forty trillion, five hundred five billion, four hundred two million, three hundred forty-three thousand, forty".