1254534400242 has 32 divisors (see below), whose sum is σ = 2787896180160. Its totient is φ = 418171839840.

The previous prime is 1254534400237. The next prime is 1254534400243. The reversal of 1254534400242 is 2420044354521.

1254534400242 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 5 + 3 + 4 + 400 + 242 = 666.

It is a super-2 number, since 2×1254534400242² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1254534400197 and 1254534400206.

It is not an unprimeable number, because it can be changed into a prime (1254534400243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686742 + ... + 4947182.

It is an arithmetic number, because the mean of its divisors is an integer number (87121755630).

Almost surely, 2^{1254534400242} is an apocalyptic number.

1254534400242 is an abundant number, since it is smaller than the sum of its proper divisors (1533361779918).

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

1254534400242 is a wasteful number, since it uses less digits than its factorization.

1254534400242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349655 (or 349649 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 1254534400242 its reverse (2420044354521), we get a palindrome (3674578754763).

The spelling of 1254534400242 in words is "one trillion, two hundred fifty-four billion, five hundred thirty-four million, four hundred thousand, two hundred forty-two".