141386995200 has 960 divisors, whose sum is σ = 545565081600. Its totient is φ = 31916851200.

The previous prime is 141386995163. The next prime is 141386995201. The reversal of 141386995200 is 2599683141.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 141386995200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141386995201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634022289 + ... + 634022511.

It is an arithmetic number, because the mean of its divisors is an integer number (568296960).

Almost surely, 2^141386995200 is an apocalyptic number.

141386995200 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 141386995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272782540800).

141386995200 is an abundant number, since it is smaller than the sum of its proper divisors (404178086400).

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

141386995200 is a wasteful number, since it uses less digits than its factorization.

141386995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 141386995200 in words is "one hundred forty-one billion, three hundred eighty-six million, nine hundred ninety-five thousand, two hundred".