2430133440042 has 128 divisors (see below), whose sum is σ = 6335116738560. Its totient is φ = 602604066240.

The previous prime is 2430133440017. The next prime is 2430133440043. The reversal of 2430133440042 is 2400443310342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2430133439991 and 2430133440009.

It is not an unprimeable number, because it can be changed into a prime (2430133440043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5338759 + ... + 5776037.

It is an arithmetic number, because the mean of its divisors is an integer number (49493099520).

Almost surely, 2^{2430133440042} is an apocalyptic number.

2430133440042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430133440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167558369280).

2430133440042 is an abundant number, since it is smaller than the sum of its proper divisors (3904983298518).

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

2430133440042 is a wasteful number, since it uses less digits than its factorization.

2430133440042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437848.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2430133440042 its reverse (2400443310342), we get a palindrome (4830576750384).

The spelling of 2430133440042 in words is "two trillion, four hundred thirty billion, one hundred thirty-three million, four hundred forty thousand, forty-two".