141433813382400 has 2592 divisors, whose sum is σ = 638617145886720. Its totient is φ = 29009829888000.

The previous prime is 141433813382357. The next prime is 141433813382417. The reversal of 141433813382400 is 4283318334141.

It is a happy number.

141433813382400 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 38 + 133 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 133051564269 + ... + 133051565331.

Almost surely, 2^{141433813382400} is an apocalyptic number.

141433813382400 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 141433813382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319308572943360).

141433813382400 is an abundant number, since it is smaller than the sum of its proper divisors (497183332504320).

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

141433813382400 is a wasteful number, since it uses less digits than its factorization.

141433813382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 141433813382400 in words is "one hundred forty-one trillion, four hundred thirty-three billion, eight hundred thirteen million, three hundred eighty-two thousand, four hundred".