35455541224000 has 224 divisors, whose sum is σ = 92997679997664. Its totient is φ = 13344092979200.

The previous prime is 35455541223979. The next prime is 35455541224001. The reversal of 35455541224000 is 42214555453.

It can be written as a sum of positive squares in 16 ways, for example, as 35175717151744 + 279824072256 = 5930912^2 + 528984^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (35455541224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491875962 + ... + 491948038.

Almost surely, 2^{35455541224000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35455541224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46498839998832).

35455541224000 is an abundant number, since it is smaller than the sum of its proper divisors (57542138773664).

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

35455541224000 is a wasteful number, since it uses less digits than its factorization.

35455541224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75738 (or 75718 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 35455541224000 its reverse (42214555453), we get a palindrome (35497755779453).

The spelling of 35455541224000 in words is "thirty-five trillion, four hundred fifty-five billion, five hundred forty-one million, two hundred twenty-four thousand".