4540350510400 has 84 divisors (see below), whose sum is σ = 11172798048060. Its totient is φ = 1816026726400.

The previous prime is 4540350510389. The next prime is 4540350510433. The reversal of 4540350510400 is 40150530454.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24181494016 + 4516169016384 = 155504^2 + 2125128^2 .

It is a super-2 number, since 2×4540350510400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28382640 + ... + 28542160.

Almost surely, 2^{4540350510400} is an apocalyptic number.

4540350510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4540350510400 is an abundant number, since it is smaller than the sum of its proper divisors (6632447537660).

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

4540350510400 is a wasteful number, since it uses less digits than its factorization.

4540350510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177332 (or 177317 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 4540350510400 in words is "four trillion, five hundred forty billion, three hundred fifty million, five hundred ten thousand, four hundred".