140424302413440 has 384 divisors, whose sum is σ = 491144170982400. Its totient is φ = 36964682366976.

The previous prime is 140424302413393. The next prime is 140424302413471. The reversal of 140424302413440 is 44314203424041.

140424302413440 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 4 + 302 + 4 + 1 + 344 + 0 = 666.

140424302413440 is digitally balanced in base 4, 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140424302413395 and 140424302413404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344791177 + ... + 2344851063.

It is an arithmetic number, because the mean of its divisors is an integer number (1279021278600).

Almost surely, 2^{140424302413440} is an apocalyptic number.

140424302413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140424302413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245572085491200).

140424302413440 is an abundant number, since it is smaller than the sum of its proper divisors (350719868568960).

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

140424302413440 is a wasteful number, since it uses less digits than its factorization.

140424302413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65144 (or 65129 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 140424302413440 its reverse (44314203424041), we get a palindrome (184738505837481).

The spelling of 140424302413440 in words is "one hundred forty trillion, four hundred twenty-four billion, three hundred two million, four hundred thirteen thousand, four hundred forty".