540042234400100 has 36 divisors (see below), whose sum is σ = 1182262371227364. Its totient is φ = 214105239828480.

The previous prime is 540042234400099. The next prime is 540042234400147. The reversal of 540042234400100 is 1004432240045.

It can be written as a sum of positive squares in 6 ways, for example, as 17182882010176 + 522859352389924 = 4145224^2 + 22866118^2 .

It is a super-2 number, since 2×540042234400100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23895662789 + ... + 23895685388.

Almost surely, 2^{540042234400100} is an apocalyptic number.

540042234400100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540042234400100 is an abundant number, since it is smaller than the sum of its proper divisors (642220136827264).

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

540042234400100 is a wasteful number, since it uses less digits than its factorization.

540042234400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47791348304 (or 47791348297 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 540042234400100 its reverse (1004432240045), we get a palindrome (541046666640145).

The spelling of 540042234400100 in words is "five hundred forty trillion, forty-two billion, two hundred thirty-four million, four hundred thousand, one hundred".