40340204400 has 240 divisors, whose sum is σ = 137020917600. Its totient is φ = 10110074880.

The previous prime is 40340204353. The next prime is 40340204419. The reversal of 40340204400 is 440204304.

40340204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25070796 + ... + 25072404.

It is an arithmetic number, because the mean of its divisors is an integer number (570920490).

Almost surely, 2^40340204400 is an apocalyptic number.

40340204400 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 40340204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68510458800).

40340204400 is an abundant number, since it is smaller than the sum of its proper divisors (96680713200).

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

40340204400 is a wasteful number, since it uses less digits than its factorization.

40340204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40340204400 its reverse (440204304), we get a palindrome (40780408704).

The spelling of 40340204400 in words is "forty billion, three hundred forty million, two hundred four thousand, four hundred".