4000540245200 has 60 divisors (see below), whose sum is σ = 10029180481248. Its totient is φ = 1530641481600.

The previous prime is 4000540245197. The next prime is 4000540245257. The reversal of 4000540245200 is 25420450004.

It is a super-2 number, since 2×4000540245200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4000540245200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217411466 + ... + 217429865.

Almost surely, 2^{4000540245200} is an apocalyptic number.

4000540245200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000540245200 is an abundant number, since it is smaller than the sum of its proper divisors (6028640236048).

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

4000540245200 is a wasteful number, since it uses less digits than its factorization.

4000540245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434841372 (or 434841361 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 4000540245200 its reverse (25420450004), we get a palindrome (4025960695204).

The spelling of 4000540245200 in words is "four trillion, five hundred forty million, two hundred forty-five thousand, two hundred".