140224133002240 has 352 divisors, whose sum is σ = 402407359962624. Its totient is φ = 45841394565120.

The previous prime is 140224133002223. The next prime is 140224133002267. The reversal of 140224133002240 is 42200331422041.

140224133002240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 140224133002199 and 140224133002208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261041130 + ... + 261577750.

Almost surely, 2^{140224133002240} is an apocalyptic number.

140224133002240 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 140224133002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201203679981312).

140224133002240 is an abundant number, since it is smaller than the sum of its proper divisors (262183226960384).

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

140224133002240 is a wasteful number, since it uses less digits than its factorization.

140224133002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536993 (or 536975 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140224133002240 its reverse (42200331422041), we get a palindrome (182424464424281).

The spelling of 140224133002240 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred thirty-three million, two thousand, two hundred forty".