2400443310342 has 128 divisors (see below), whose sum is σ = 6125100456960. Its totient is φ = 609055050240.

The previous prime is 2400443310277. The next prime is 2400443310371. The reversal of 2400443310342 is 2430133440042.

It is a happy number.

It is a super-3 number, since 3×2400443310342³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5393248 + ... + 5821340.

It is an arithmetic number, because the mean of its divisors is an integer number (47852347320).

Almost surely, 2^{2400443310342} is an apocalyptic number.

2400443310342 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 2400443310342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062550228480).

2400443310342 is an abundant number, since it is smaller than the sum of its proper divisors (3724657146618).

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

2400443310342 is a wasteful number, since it uses less digits than its factorization.

2400443310342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428398.

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

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

The spelling of 2400443310342 in words is "two trillion, four hundred billion, four hundred forty-three million, three hundred ten thousand, three hundred forty-two".