141214221040400 has 120 divisors (see below), whose sum is σ = 342756656608200. Its totient is φ = 55907511828480.

The previous prime is 141214221040369. The next prime is 141214221040523. The reversal of 141214221040400 is 4040122412141.

It can be written as a sum of positive squares in 12 ways, for example, as 9681581602576 + 131532639437824 = 3111524^2 + 11468768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141214221040400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11764826 + ... + 20514374.

It is an arithmetic number, because the mean of its divisors is an integer number (2856305471735).

Almost surely, 2^{141214221040400} is an apocalyptic number.

141214221040400 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 141214221040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171378328304100).

141214221040400 is an abundant number, since it is smaller than the sum of its proper divisors (201542435567800).

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

141214221040400 is a wasteful number, since it uses less digits than its factorization.

141214221040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749981 (or 8749970 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 141214221040400 its reverse (4040122412141), we get a palindrome (145254343452541).

The spelling of 141214221040400 in words is "one hundred forty-one trillion, two hundred fourteen billion, two hundred twenty-one million, forty thousand, four hundred".