4021838400 has 168 divisors, whose sum is σ = 13317768640. Its totient is φ = 1062512640.

The previous prime is 4021838389. The next prime is 4021838411. The reversal of 4021838400 is 48381204.

It is an interprime number because it is at equal distance from previous prime (4021838389) and next prime (4021838411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519357 + ... + 527043.

Almost surely, 2^4021838400 is an apocalyptic number.

4021838400 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 4021838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658884320).

4021838400 is an abundant number, since it is smaller than the sum of its proper divisors (9295930240).

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

4021838400 is a wasteful number, since it uses less digits than its factorization.

4021838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4021838400 is about 63417.9659087234. The cubic root of 4021838400 is about 1590.2846687807.

The spelling of 4021838400 in words is "four billion, twenty-one million, eight hundred thirty-eight thousand, four hundred".