4130040310400 has 48 divisors (see below), whose sum is σ = 10202490212190. Its totient is φ = 1652016122880.

The previous prime is 4130040310387. The next prime is 4130040310411. The reversal of 4130040310400 is 40130400314.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3481448466496 + 648591843904 = 1865864^2 + 805352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 645315599 + ... + 645321998.

Almost surely, 2^{4130040310400} is an apocalyptic number.

4130040310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130040310400 is an abundant number, since it is smaller than the sum of its proper divisors (6072449901790).

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

4130040310400 is a wasteful number, since it uses less digits than its factorization.

4130040310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290637621 (or 1290637604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4130040310400 its reverse (40130400314), we get a palindrome (4170170710714).

The spelling of 4130040310400 in words is "four trillion, one hundred thirty billion, forty million, three hundred ten thousand, four hundred".