141340638240 has 576 divisors, whose sum is σ = 523961343360. Its totient is φ = 34577694720.

The previous prime is 141340638193. The next prime is 141340638359. The reversal of 141340638240 is 42836043141.

141340638240 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 406 + 3 + 8 + 240 = 666.

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 = 141340638195 and 141340638204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182846494 + ... + 182847266.

It is an arithmetic number, because the mean of its divisors is an integer number (909655110).

Almost surely, 2^141340638240 is an apocalyptic number.

141340638240 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 141340638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261980671680).

141340638240 is an abundant number, since it is smaller than the sum of its proper divisors (382620705120).

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

141340638240 is a wasteful number, since it uses less digits than its factorization.

141340638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 141340638240 in words is "one hundred forty-one billion, three hundred forty million, six hundred thirty-eight thousand, two hundred forty".