141334550400 has 192 divisors, whose sum is σ = 468608400000. Its totient is φ = 37439232000.

The previous prime is 141334550389. The next prime is 141334550417. The reversal of 141334550400 is 4055433141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400851 + ... + 1498349.

It is an arithmetic number, because the mean of its divisors is an integer number (2440668750).

Almost surely, 2^141334550400 is an apocalyptic number.

141334550400 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 141334550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234304200000).

141334550400 is an abundant number, since it is smaller than the sum of its proper divisors (327273849600).

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

141334550400 is a wasteful number, since it uses less digits than its factorization.

141334550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97677 (or 97660 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 141334550400 its reverse (4055433141), we get a palindrome (145389983541).

The spelling of 141334550400 in words is "one hundred forty-one billion, three hundred thirty-four million, five hundred fifty thousand, four hundred".