141138354854400 has 960 divisors, whose sum is σ = 483228425687040. Its totient is φ = 36285987225600.

The previous prime is 141138354854377. The next prime is 141138354854461. The reversal of 141138354854400 is 4458453831141.

It is a happy number.

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

It is a super-2 number, since 2×141138354854400² (a number of 29 digits) contains 22 as substring.

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, 77082661485 + ... + 77082663315.

It is an arithmetic number, because the mean of its divisors is an integer number (503362943424).

Almost surely, 2^{141138354854400} is an apocalyptic number.

141138354854400 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 141138354854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241614212843520).

141138354854400 is an abundant number, since it is smaller than the sum of its proper divisors (342090070832640).

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

141138354854400 is a wasteful number, since it uses less digits than its factorization.

141138354854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 141138354854400 in words is "one hundred forty-one trillion, one hundred thirty-eight billion, three hundred fifty-four million, eight hundred fifty-four thousand, four hundred".