40305450304 has 56 divisors (see below), whose sum is σ = 91510957440. Its totient is φ = 17254119936.

The previous prime is 40305450301. The next prime is 40305450337.

40305450304 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40305450301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346662 + ... + 448090.

It is an arithmetic number, because the mean of its divisors is an integer number (1634124240).

Almost surely, 2^40305450304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40305450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45755478720).

40305450304 is an abundant number, since it is smaller than the sum of its proper divisors (51205507136).

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

40305450304 is a wasteful number, since it uses less digits than its factorization.

40305450304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102335 (or 102325 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 40305450304 in words is "forty billion, three hundred five million, four hundred fifty thousand, three hundred four".