141052815998640 has 1280 divisors, whose sum is σ = 617935609589760. Its totient is φ = 28780506316800.

The previous prime is 141052815998593. The next prime is 141052815998641. The reversal of 141052815998640 is 46899518250141.

141052815998640 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 528 + 15 + 9 + 98 + 6 + 4 + 0 = 666.

141052815998640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141052815998640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (141052815998641) 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, 853577464 + ... + 853742696.

It is an arithmetic number, because the mean of its divisors is an integer number (482762194992).

Almost surely, 2^{141052815998640} is an apocalyptic number.

141052815998640 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 141052815998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308967804794880).

141052815998640 is an abundant number, since it is smaller than the sum of its proper divisors (476882793591120).

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

141052815998640 is a wasteful number, since it uses less digits than its factorization.

141052815998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165419 (or 165407 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 141052815998640 in words is "one hundred forty-one trillion, fifty-two billion, eight hundred fifteen million, nine hundred ninety-eight thousand, six hundred forty".