5040235432200 has 192 divisors, whose sum is σ = 16180964352000. Its totient is φ = 1296314736640.

The previous prime is 5040235432181. The next prime is 5040235432201. The reversal of 5040235432200 is 22345320405.

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

It is not an unprimeable number, because it can be changed into a prime (5040235432201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16008697 + ... + 16320503.

It is an arithmetic number, because the mean of its divisors is an integer number (84275856000).

Almost surely, 2^{5040235432200} is an apocalyptic number.

5040235432200 is a gapful number since it is divisible by the number (50) 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 5040235432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090482176000).

5040235432200 is an abundant number, since it is smaller than the sum of its proper divisors (11140728919800).

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

5040235432200 is a wasteful number, since it uses less digits than its factorization.

5040235432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312784 (or 312775 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 5040235432200 in words is "five trillion, forty billion, two hundred thirty-five million, four hundred thirty-two thousand, two hundred".