140042431333440 has 336 divisors, whose sum is σ = 486279001406016. Its totient is φ = 36990328320000.

The previous prime is 140042431333391. The next prime is 140042431333447. The reversal of 140042431333440 is 44333134240041.

140042431333440 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 4 + 2 + 4 + 313 + 334 + 4 + 0 = 666.

It is a super-2 number, since 2×140042431333440² (a number of 29 digits) contains 22 as substring.

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 = 140042431333395 and 140042431333404.

It is not an unprimeable number, because it can be changed into a prime (140042431333447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130306119 + ... + 131376441.

It is an arithmetic number, because the mean of its divisors is an integer number (1447258932756).

Almost surely, 2^{140042431333440} is an apocalyptic number.

140042431333440 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 140042431333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243139500703008).

140042431333440 is an abundant number, since it is smaller than the sum of its proper divisors (346236570072576).

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

140042431333440 is a wasteful number, since it uses less digits than its factorization.

140042431333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070778 (or 1070765 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140042431333440 its reverse (44333134240041), we get a palindrome (184375565573481).

The spelling of 140042431333440 in words is "one hundred forty trillion, forty-two billion, four hundred thirty-one million, three hundred thirty-three thousand, four hundred forty".