141166022400 has 540 divisors, whose sum is σ = 562132331992. Its totient is φ = 34746900480.

The previous prime is 141166022399. The next prime is 141166022423. The reversal of 141166022400 is 4220661141.

141166022400 is a `hidden beast` number, since 1 + 4 + 1 + 16 + 602 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6728727 + ... + 6749673.

Almost surely, 2^141166022400 is an apocalyptic number.

141166022400 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 141166022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281066165996).

141166022400 is an abundant number, since it is smaller than the sum of its proper divisors (420966309592).

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

141166022400 is a wasteful number, since it uses less digits than its factorization.

141166022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20998 (or 20970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 141166022400 its reverse (4220661141), we get a palindrome (145386683541).

The spelling of 141166022400 in words is "one hundred forty-one billion, one hundred sixty-six million, twenty-two thousand, four hundred".