35541340120 has 256 divisors, whose sum is σ = 98104970880. Its totient is φ = 11413094400.

The previous prime is 35541340097. The next prime is 35541340123. The reversal of 35541340120 is 2104314553.

It is a super-2 number, since 2×35541340120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35541340123) 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 63 ways as a sum of consecutive naturals, for example, 12908664 + ... + 12911416.

Almost surely, 2^35541340120 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 35541340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49052485440).

35541340120 is an abundant number, since it is smaller than the sum of its proper divisors (62563630760).

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

35541340120 is a wasteful number, since it uses less digits than its factorization.

35541340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 35541340120 its reverse (2104314553), we get a palindrome (37645654673).

The spelling of 35541340120 in words is "thirty-five billion, five hundred forty-one million, three hundred forty thousand, one hundred twenty".