140033444233140 has 288 divisors, whose sum is σ = 429337974907296. Its totient is φ = 36942855045120.

The previous prime is 140033444233013. The next prime is 140033444233141. The reversal of 140033444233140 is 41332444330041.

140033444233140 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 334 + 4 + 4 + 2 + 3 + 314 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 24649497210276 + 115383947022864 = 4964826^2 + 10741692^2 .

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 = 140033444233095 and 140033444233104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140033444233141) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12893231310 + ... + 12893242170.

It is an arithmetic number, because the mean of its divisors is an integer number (1490756857317).

Almost surely, 2^{140033444233140} is an apocalyptic number.

140033444233140 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 140033444233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214668987453648).

140033444233140 is an abundant number, since it is smaller than the sum of its proper divisors (289304530674156).

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

140033444233140 is a wasteful number, since it uses less digits than its factorization.

140033444233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13059 (or 13054 counting only the distinct ones).

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

Adding to 140033444233140 its reverse (41332444330041), we get a palindrome (181365888563181).

The spelling of 140033444233140 in words is "one hundred forty trillion, thirty-three billion, four hundred forty-four million, two hundred thirty-three thousand, one hundred forty".