133441411400 has 96 divisors (see below), whose sum is σ = 338733900000. Its totient is φ = 48484300800.

The previous prime is 133441411373. The next prime is 133441411409. The reversal of 133441411400 is 4114144331.

It is a happy number.

It is a super-2 number, since 2×133441411400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133441411400.

It is not an unprimeable number, because it can be changed into a prime (133441411409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723519 + ... + 2772081.

It is an arithmetic number, because the mean of its divisors is an integer number (3528478125).

Almost surely, 2^133441411400 is an apocalyptic number.

133441411400 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 133441411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169366950000).

133441411400 is an abundant number, since it is smaller than the sum of its proper divisors (205292488600).

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

133441411400 is a wasteful number, since it uses less digits than its factorization.

133441411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49839 (or 49830 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 133441411400 its reverse (4114144331), we get a palindrome (137555555731).

The spelling of 133441411400 in words is "one hundred thirty-three billion, four hundred forty-one million, four hundred eleven thousand, four hundred".