40468804600 has 96 divisors (see below), whose sum is σ = 107579721600. Its totient is φ = 13868784000.

The previous prime is 40468804583. The next prime is 40468804601. The reversal of 40468804600 is 640886404.

40468804600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40468804601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3986331 + ... + 3996469.

It is an arithmetic number, because the mean of its divisors is an integer number (1120622100).

Almost surely, 2^40468804600 is an apocalyptic number.

40468804600 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 40468804600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53789860800).

40468804600 is an abundant number, since it is smaller than the sum of its proper divisors (67110917000).

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

40468804600 is a wasteful number, since it uses less digits than its factorization.

40468804600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 40468804600 in words is "forty billion, four hundred sixty-eight million, eight hundred four thousand, six hundred".