35144041300 has 18 divisors (see below), whose sum is σ = 76262569838. Its totient is φ = 14057616480.

The previous prime is 35144041271. The next prime is 35144041319. The reversal of 35144041300 is 314044153.

35144041300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 531671364 + 34612369936 = 23058^2 + 186044^2 .

It is a super-2 number, since 2×35144041300² (a number of 22 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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175720107 + ... + 175720306.

Almost surely, 2^35144041300 is an apocalyptic number.

It is an amenable number.

35144041300 is an abundant number, since it is smaller than the sum of its proper divisors (41118528538).

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

35144041300 is a wasteful number, since it uses less digits than its factorization.

35144041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351440427 (or 351440420 counting only the distinct ones).

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

Adding to 35144041300 its reverse (314044153), we get a palindrome (35458085453).

The spelling of 35144041300 in words is "thirty-five billion, one hundred forty-four million, forty-one thousand, three hundred".