140224211230032 has 160 divisors (see below), whose sum is σ = 404891271907200. Its totient is φ = 46463268446208.

The previous prime is 140224211230013. The next prime is 140224211230039. The reversal of 140224211230032 is 230032112422041.

140224211230032 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 421 + 1 + 230 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140224211229978 and 140224211230005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140224211230039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444745819 + ... + 445060997.

It is an arithmetic number, because the mean of its divisors is an integer number (2530570449420).

Almost surely, 2^{140224211230032} is an apocalyptic number.

140224211230032 is a gapful number since it is divisible by the number (12) 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 140224211230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202445635953600).

140224211230032 is an abundant number, since it is smaller than the sum of its proper divisors (264667060677168).

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

140224211230032 is a wasteful number, since it uses less digits than its factorization.

140224211230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321322 (or 321310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140224211230032 its reverse (230032112422041), we get a palindrome (370256323652073).

The spelling of 140224211230032 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred eleven million, two hundred thirty thousand, thirty-two".