4022034102400 has 192 divisors, whose sum is σ = 10244398111200. Its totient is φ = 1559396966400.

The previous prime is 4022034102397. The next prime is 4022034102403. The reversal of 4022034102400 is 42014302204.

It is a happy number.

4022034102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4022034102397) and next prime (4022034102403).

It is not an unprimeable number, because it can be changed into a prime (4022034102403) 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, 17914036 + ... + 18137164.

Almost surely, 2^{4022034102400} is an apocalyptic number.

4022034102400 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 4022034102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122199055600).

4022034102400 is an abundant number, since it is smaller than the sum of its proper divisors (6222364008800).

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

4022034102400 is a wasteful number, since it uses less digits than its factorization.

4022034102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223327 (or 223310 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4022034102400 its reverse (42014302204), we get a palindrome (4064048404604).

The spelling of 4022034102400 in words is "four trillion, twenty-two billion, thirty-four million, one hundred two thousand, four hundred".