133400410000 has 200 divisors, whose sum is σ = 379444089024. Its totient is φ = 44777280000.

The previous prime is 133400409953. The next prime is 133400410001. The reversal of 133400410000 is 14004331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (133400410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1383357 + ... + 1476643.

Almost surely, 2^133400410000 is an apocalyptic number.

133400410000 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 133400410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189722044512).

133400410000 is an abundant number, since it is smaller than the sum of its proper divisors (246043679024).

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

133400410000 is a wasteful number, since it uses less digits than its factorization.

133400410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93339 (or 93318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 133400410000 its reverse (14004331), we get a palindrome (133414414331).

The spelling of 133400410000 in words is "one hundred thirty-three billion, four hundred million, four hundred ten thousand".