4031134400 has 42 divisors (see below), whose sum is σ = 9919114020. Its totient is φ = 1612453120.

The previous prime is 4031134397. The next prime is 4031134409. The reversal of 4031134400 is 44311304.

It is a happy number.

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 (4031134409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1258130 + ... + 1261329.

Almost surely, 2^4031134400 is an apocalyptic number.

4031134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4031134400 is an abundant number, since it is smaller than the sum of its proper divisors (5887979620).

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

4031134400 is a wasteful number, since it uses less digits than its factorization.

4031134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519481 (or 2519466 counting only the distinct ones).

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

The square root of 4031134400 is about 63491.2151403641. The cubic root of 4031134400 is about 1591.5089771260.

Adding to 4031134400 its reverse (44311304), we get a palindrome (4075445704).

The spelling of 4031134400 in words is "four billion, thirty-one million, one hundred thirty-four thousand, four hundred".