2432142341440 has 56 divisors (see below), whose sum is σ = 6618901663872. Its totient is φ = 833877373440.

The previous prime is 2432142341429. The next prime is 2432142341449. The reversal of 2432142341440 is 441432412342.

2432142341440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2432142341396 and 2432142341405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432142341449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542886676 + ... + 542891155.

Almost surely, 2^{2432142341440} is an apocalyptic number.

2432142341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432142341440 is an abundant number, since it is smaller than the sum of its proper divisors (4186759322432).

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

2432142341440 is a wasteful number, since it uses less digits than its factorization.

2432142341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085777855 (or 1085777845 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 2432142341440 its reverse (441432412342), we get a palindrome (2873574753782).

The spelling of 2432142341440 in words is "two trillion, four hundred thirty-two billion, one hundred forty-two million, three hundred forty-one thousand, four hundred forty".