140224430211040 has 192 divisors, whose sum is σ = 378913361194368. Its totient is φ = 48037929984000.

The previous prime is 140224430211037. The next prime is 140224430211113. The reversal of 140224430211040 is 40112034422041.

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

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, 8211294982 + ... + 8211312058.

It is an arithmetic number, because the mean of its divisors is an integer number (1973507089554).

Almost surely, 2^{140224430211040} is an apocalyptic number.

140224430211040 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 140224430211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189456680597184).

140224430211040 is an abundant number, since it is smaller than the sum of its proper divisors (238688930983328).

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

140224430211040 is a wasteful number, since it uses less digits than its factorization.

140224430211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22621 (or 22613 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 140224430211040 its reverse (40112034422041), we get a palindrome (180336464633081).

The spelling of 140224430211040 in words is "one hundred forty trillion, two hundred twenty-four billion, four hundred thirty million, two hundred eleven thousand, forty".