4312000042400 has 72 divisors (see below), whose sum is σ = 10597319189100. Its totient is φ = 1713224130560.

The previous prime is 4312000042387. The next prime is 4312000042403. The reversal of 4312000042400 is 42400002134.

It can be written as a sum of positive squares in 6 ways, for example, as 705996535696 + 3606003506704 = 840236^2 + 1898948^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4312000042403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17968049 + ... + 18206448.

Almost surely, 2^{4312000042400} is an apocalyptic number.

4312000042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4312000042400 is an abundant number, since it is smaller than the sum of its proper divisors (6285319146700).

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

4312000042400 is a wasteful number, since it uses less digits than its factorization.

4312000042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36174666 (or 36174653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4312000042400 its reverse (42400002134), we get a palindrome (4354400044534).

The spelling of 4312000042400 in words is "four trillion, three hundred twelve billion, forty-two thousand, four hundred".