40203454240200 has 384 divisors, whose sum is σ = 132007304563200. Its totient is φ = 10093579776000.

The previous prime is 40203454240111. The next prime is 40203454240259. The reversal of 40203454240200 is 204245430204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348958499 + ... + 1348988301.

It is an arithmetic number, because the mean of its divisors is an integer number (343769022300).

Almost surely, 2^{40203454240200} is an apocalyptic number.

40203454240200 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 40203454240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66003652281600).

40203454240200 is an abundant number, since it is smaller than the sum of its proper divisors (91803850323000).

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

40203454240200 is a wasteful number, since it uses less digits than its factorization.

40203454240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30573 (or 30564 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 40203454240200 its reverse (204245430204), we get a palindrome (40407699670404).

The spelling of 40203454240200 in words is "forty trillion, two hundred three billion, four hundred fifty-four million, two hundred forty thousand, two hundred".