3101030040400 has 60 divisors (see below), whose sum is σ = 7450463675644. Its totient is φ = 1240372224000.

The previous prime is 3101030040377. The next prime is 3101030040401. The reversal of 3101030040400 is 40400301013.

It can be written as a sum of positive squares in 6 ways, for example, as 452234730256 + 2648795310144 = 672484^2 + 1627512^2 .

It is a super-2 number, since 2×3101030040400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101030040401) 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 11 ways as a sum of consecutive naturals, for example, 14510320 + ... + 14722480.

Almost surely, 2^{3101030040400} is an apocalyptic number.

It is an amenable number.

3101030040400 is an abundant number, since it is smaller than the sum of its proper divisors (4349433635244).

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

3101030040400 is a wasteful number, since it uses less digits than its factorization.

3101030040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248720 (or 248709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3101030040400 its reverse (40400301013), we get a palindrome (3141430341413).

The spelling of 3101030040400 in words is "three trillion, one hundred one billion, thirty million, forty thousand, four hundred".