141313315440 has 240 divisors, whose sum is σ = 482569113600. Its totient is φ = 34182888960.

The previous prime is 141313315411. The next prime is 141313315453. The reversal of 141313315440 is 44513313141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141313315398 and 141313315407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13905081 + ... + 13915239.

It is an arithmetic number, because the mean of its divisors is an integer number (2010704640).

Almost surely, 2^141313315440 is an apocalyptic number.

141313315440 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 141313315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241284556800).

141313315440 is an abundant number, since it is smaller than the sum of its proper divisors (341255798160).

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

141313315440 is a wasteful number, since it uses less digits than its factorization.

141313315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 141313315440 its reverse (44513313141), we get a palindrome (185826628581).

The spelling of 141313315440 in words is "one hundred forty-one billion, three hundred thirteen million, three hundred fifteen thousand, four hundred forty".