541312551400 has 48 divisors (see below), whose sum is σ = 1258820016300. Its totient is φ = 216478855680.

The previous prime is 541312551397. The next prime is 541312551401. The reversal of 541312551400 is 4155213145.

It can be written as a sum of positive squares in 6 ways, for example, as 18557523076 + 522755028324 = 136226^2 + 723018^2 .

It is not an unprimeable number, because it can be changed into a prime (541312551401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659634 + ... + 1231966.

Almost surely, 2^541312551400 is an apocalyptic number.

541312551400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541312551400 is an abundant number, since it is smaller than the sum of its proper divisors (717507464900).

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

541312551400 is a wasteful number, since it uses less digits than its factorization.

541312551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577078 (or 577069 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 541312551400 its reverse (4155213145), we get a palindrome (545467764545).

The spelling of 541312551400 in words is "five hundred forty-one billion, three hundred twelve million, five hundred fifty-one thousand, four hundred".