35304140140000 has 240 divisors, whose sum is σ = 87227018569152. Its totient is φ = 14061026304000.

The previous prime is 35304140139997. The next prime is 35304140140001. The reversal of 35304140140000 is 4104140353.

35304140140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35304140140000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35304140140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6904777444 + ... + 6904782556.

Almost surely, 2^{35304140140000} 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 35304140140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43613509284576).

35304140140000 is an abundant number, since it is smaller than the sum of its proper divisors (51922878429152).

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

35304140140000 is a wasteful number, since it uses less digits than its factorization.

35304140140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 35304140140000 its reverse (4104140353), we get a palindrome (35308244280353).

The spelling of 35304140140000 in words is "thirty-five trillion, three hundred four billion, one hundred forty million, one hundred forty thousand".