35140325241024 has 336 divisors, whose sum is σ = 101689630117920. Its totient is φ = 11601801953280.

The previous prime is 35140325241017. The next prime is 35140325241061. The reversal of 35140325241024 is 42014252304153.

It is a happy number.

35140325241024 is a `hidden beast` number, since 3 + 5 + 1 + 403 + 2 + 5 + 241 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35140325241024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27517873474 + ... + 27517874750.

Almost surely, 2^{35140325241024} 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 35140325241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50844815058960).

35140325241024 is an abundant number, since it is smaller than the sum of its proper divisors (66549304876896).

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

35140325241024 is a wasteful number, since it uses less digits than its factorization.

35140325241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 35140325241024 its reverse (42014252304153), we get a palindrome (77154577545177).

The spelling of 35140325241024 in words is "thirty-five trillion, one hundred forty billion, three hundred twenty-five million, two hundred forty-one thousand, twenty-four".