4213104000 has 256 divisors, whose sum is σ = 15962918400. Its totient is φ = 962918400.

The previous prime is 4213103981. The next prime is 4213104013. The reversal of 4213104000 is 4013124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329731 + ... + 342269.

It is an arithmetic number, because the mean of its divisors is an integer number (62355150).

Almost surely, 2^4213104000 is an apocalyptic number.

4213104000 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 4213104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981459200).

4213104000 is an abundant number, since it is smaller than the sum of its proper divisors (11749814400).

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

4213104000 is a wasteful number, since it uses less digits than its factorization.

4213104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4213104000 is about 64908.4278040995. The cubic root of 4213104000 is about 1615.1048697505.

Adding to 4213104000 its reverse (4013124), we get a palindrome (4217117124).

The spelling of 4213104000 in words is "four billion, two hundred thirteen million, one hundred four thousand".