4134338400 has 144 divisors (see below), whose sum is σ = 13480012224. Its totient is φ = 1100628480.

The previous prime is 4134338359. The next prime is 4134338401. The reversal of 4134338400 is 48334314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134338401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983759 + ... + 1985841.

It is an arithmetic number, because the mean of its divisors is an integer number (93611196).

Almost surely, 2^4134338400 is an apocalyptic number.

4134338400 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 4134338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740006112).

4134338400 is an abundant number, since it is smaller than the sum of its proper divisors (9345673824).

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

4134338400 is a wasteful number, since it uses less digits than its factorization.

4134338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4134338400 is about 64298.8211400489. The cubic root of 4134338400 is about 1604.9764847439.

The spelling of 4134338400 in words is "four billion, one hundred thirty-four million, three hundred thirty-eight thousand, four hundred".