40510430100000 has 2304 divisors, whose sum is σ = 179651901542400. Its totient is φ = 8674283520000.

The previous prime is 40510430099989. The next prime is 40510430100017. The reversal of 40510430100000 is 103401504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34832699419 + ... + 34832700581.

It is an arithmetic number, because the mean of its divisors is an integer number (77973915600).

Almost surely, 2^{40510430100000} is an apocalyptic number.

40510430100000 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 40510430100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89825950771200).

40510430100000 is an abundant number, since it is smaller than the sum of its proper divisors (139141471442400).

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

40510430100000 is a wasteful number, since it uses less digits than its factorization.

40510430100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 40510430100000 its reverse (103401504), we get a palindrome (40510533501504).

The spelling of 40510430100000 in words is "forty trillion, five hundred ten billion, four hundred thirty million, one hundred thousand".