4312404000 has 288 divisors, whose sum is σ = 15466598784. Its totient is φ = 1137830400.

The previous prime is 4312403959. The next prime is 4312404001. The reversal of 4312404000 is 4042134.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4312404001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3707419 + ... + 3708581.

It is an arithmetic number, because the mean of its divisors is an integer number (53703468).

Almost surely, 2^4312404000 is an apocalyptic number.

4312404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733299392).

4312404000 is an abundant number, since it is smaller than the sum of its proper divisors (11154194784).

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

4312404000 is a wasteful number, since it uses less digits than its factorization.

4312404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4312404000 is about 65668.8967472425. The cubic root of 4312404000 is about 1627.6954397304.

Adding to 4312404000 its reverse (4042134), we get a palindrome (4316446134).

The spelling of 4312404000 in words is "four billion, three hundred twelve million, four hundred four thousand".