140300441413344 has 144 divisors (see below), whose sum is σ = 407720045940480. Its totient is φ = 45743496433920.

The previous prime is 140300441413291. The next prime is 140300441413351. The reversal of 140300441413344 is 443314144003041.

140300441413344 is a `hidden beast` number, since 1 + 4 + 0 + 300 + 4 + 4 + 1 + 4 + 1 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×140300441413344² (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 = 140300441413299 and 140300441413308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18713739 + ... + 25115829.

It is an arithmetic number, because the mean of its divisors is an integer number (2831389207920).

Almost surely, 2^{140300441413344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140300441413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203860022970240).

140300441413344 is an abundant number, since it is smaller than the sum of its proper divisors (267419604527136).

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

140300441413344 is a wasteful number, since it uses less digits than its factorization.

140300441413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403773 (or 6403762 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140300441413344 its reverse (443314144003041), we get a palindrome (583614585416385).

The spelling of 140300441413344 in words is "one hundred forty trillion, three hundred billion, four hundred forty-one million, four hundred thirteen thousand, three hundred forty-four".