540127770400 has 72 divisors (see below), whose sum is σ = 1318878219204. Its totient is φ = 216003379200.

The previous prime is 540127770269. The next prime is 540127770401. The reversal of 540127770400 is 4077721045.

It can be written as a sum of positive squares in 6 ways, for example, as 502210334224 + 37917436176 = 708668^2 + 194724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 540127770400.

It is not an unprimeable number, because it can be changed into a prime (540127770401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3666160 + ... + 3810640.

Almost surely, 2^540127770400 is an apocalyptic number.

540127770400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540127770400 is an abundant number, since it is smaller than the sum of its proper divisors (778750448804).

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

540127770400 is a wasteful number, since it uses less digits than its factorization.

540127770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149174 (or 149161 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 37.

The spelling of 540127770400 in words is "five hundred forty billion, one hundred twenty-seven million, seven hundred seventy thousand, four hundred".