40105344435210 has 256 divisors, whose sum is σ = 108449787064320. Its totient is φ = 10545511046400.

The previous prime is 40105344435209. The next prime is 40105344435217. The reversal of 40105344435210 is 1253444350104.

40105344435210 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 5 + 3 + 4 + 4 + 435 + 210 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40105344435217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9900107685 + ... + 9900111735.

It is an arithmetic number, because the mean of its divisors is an integer number (423631980720).

Almost surely, 2^{40105344435210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40105344435210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54224893532160).

40105344435210 is an abundant number, since it is smaller than the sum of its proper divisors (68344442629110).

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

40105344435210 is a wasteful number, since it uses less digits than its factorization.

40105344435210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40105344435210 its reverse (1253444350104), we get a palindrome (41358788785314).

The spelling of 40105344435210 in words is "forty trillion, one hundred five billion, three hundred forty-four million, four hundred thirty-five thousand, two hundred ten".