140224134240240 has 640 divisors, whose sum is σ = 494402641920000. Its totient is φ = 32702273372160.

The previous prime is 140224134240217. The next prime is 140224134240259. The reversal of 140224134240240 is 42042431422041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 320661261 + ... + 321098259.

It is an arithmetic number, because the mean of its divisors is an integer number (772504128000).

Almost surely, 2^{140224134240240} is an apocalyptic number.

140224134240240 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 140224134240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247201320960000).

140224134240240 is an abundant number, since it is smaller than the sum of its proper divisors (354178507679760).

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

140224134240240 is a wasteful number, since it uses less digits than its factorization.

140224134240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437165 (or 437159 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 140224134240240 its reverse (42042431422041), we get a palindrome (182266565662281).

The spelling of 140224134240240 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred thirty-four million, two hundred forty thousand, two hundred forty".