40203002400 has 144 divisors (see below), whose sum is σ = 142757300448. Its totient is φ = 9746176000.

The previous prime is 40203002377. The next prime is 40203002407. The reversal of 40203002400 is 420030204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40203002400.

It is not an unprimeable number, because it can be changed into a prime (40203002407) 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, 735021 + ... + 787820.

It is an arithmetic number, because the mean of its divisors is an integer number (991370142).

Almost surely, 2^40203002400 is an apocalyptic number.

40203002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40203002400 is an abundant number, since it is smaller than the sum of its proper divisors (102554298048).

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

40203002400 is a wasteful number, since it uses less digits than its factorization.

40203002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522875 (or 1522862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 40203002400 its reverse (420030204), we get a palindrome (40623032604).

The spelling of 40203002400 in words is "forty billion, two hundred three million, two thousand, four hundred".