40305104000 has 256 divisors, whose sum is σ = 117201427200. Its totient is φ = 13495910400.

The previous prime is 40305103999. The next prime is 40305104011. The reversal of 40305104000 is 40150304.

It is a self number, because there is not a number n which added to its sum of digits gives 40305104000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4811816 + ... + 4820184.

It is an arithmetic number, because the mean of its divisors is an integer number (457818075).

Almost surely, 2^40305104000 is an apocalyptic number.

40305104000 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 40305104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58600713600).

40305104000 is an abundant number, since it is smaller than the sum of its proper divisors (76896323200).

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

40305104000 is an equidigital number, since it uses as much as digits as its factorization.

40305104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8448 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 40305104000 its reverse (40150304), we get a palindrome (40345254304).

The spelling of 40305104000 in words is "forty billion, three hundred five million, one hundred four thousand".