140444414033000 has 1024 divisors, whose sum is σ = 438628627906560. Its totient is φ = 40789478400000.

The previous prime is 140444414032999. The next prime is 140444414033009. The reversal of 140444414033000 is 330414444041.

It is not an unprimeable number, because it can be changed into a prime (140444414033009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77040270089 + ... + 77040271911.

It is an arithmetic number, because the mean of its divisors is an integer number (428348269440).

Almost surely, 2^{140444414033000} is an apocalyptic number.

140444414033000 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 140444414033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219314313953280).

140444414033000 is an abundant number, since it is smaller than the sum of its proper divisors (298184213873560).

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

140444414033000 is a wasteful number, since it uses less digits than its factorization.

140444414033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 140444414033000 its reverse (330414444041), we get a palindrome (140774828477041).

The spelling of 140444414033000 in words is "one hundred forty trillion, four hundred forty-four billion, four hundred fourteen million, thirty-three thousand".