40435560000000 has 960 divisors, whose sum is σ = 159151219134336. Its totient is φ = 9801600000000.

The previous prime is 40435559999993. The next prime is 40435560000091. The reversal of 40435560000000 is 6553404.

40435560000000 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 55 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3959994895 + ... + 3960005105.

Almost surely, 2^{40435560000000} is an apocalyptic number.

40435560000000 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 40435560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79575609567168).

40435560000000 is an abundant number, since it is smaller than the sum of its proper divisors (118715659134336).

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

40435560000000 is an frugal number, since it uses more digits than its factorization.

40435560000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10281 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40435560000000 its reverse (6553404), we get a palindrome (40435566553404).

The spelling of 40435560000000 in words is "forty trillion, four hundred thirty-five billion, five hundred sixty million", and thus it is an aban number.