140224430143440 has 480 divisors, whose sum is σ = 505417401216000. Its totient is φ = 36088363745280.

The previous prime is 140224430143397. The next prime is 140224430143451. The reversal of 140224430143440 is 44341034422041.

140224430143440 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 4 + 4 + 301 + 4 + 344 + 0 = 666.

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 = 140224430143395 and 140224430143404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1352408400 + ... + 1352512080.

It is an arithmetic number, because the mean of its divisors is an integer number (1052952919200).

Almost surely, 2^{140224430143440} is an apocalyptic number.

140224430143440 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 140224430143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252708700608000).

140224430143440 is an abundant number, since it is smaller than the sum of its proper divisors (365192971072560).

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

140224430143440 is a wasteful number, since it uses less digits than its factorization.

140224430143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106137 (or 106119 counting only the distinct ones).

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

Adding to 140224430143440 its reverse (44341034422041), we get a palindrome (184565464565481).

The spelling of 140224430143440 in words is "one hundred forty trillion, two hundred twenty-four billion, four hundred thirty million, one hundred forty-three thousand, four hundred forty".