141296587440 has 160 divisors (see below), whose sum is σ = 441030700800. Its totient is φ = 37420551168.

The previous prime is 141296587417. The next prime is 141296587457. The reversal of 141296587440 is 44785692141.

141296587440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70541479 + ... + 70543481.

It is an arithmetic number, because the mean of its divisors is an integer number (2756441880).

Almost surely, 2^141296587440 is an apocalyptic number.

141296587440 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 141296587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220515350400).

141296587440 is an abundant number, since it is smaller than the sum of its proper divisors (299734113360).

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

141296587440 is a wasteful number, since it uses less digits than its factorization.

141296587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 141296587440 in words is "one hundred forty-one billion, two hundred ninety-six million, five hundred eighty-seven thousand, four hundred forty".