4022104000 has 112 divisors (see below), whose sum is σ = 10035174240. Its totient is φ = 1596825600.

The previous prime is 4022103983. The next prime is 4022104019. The reversal of 4022104000 is 4012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110192 + ... + 1113808.

It is an arithmetic number, because the mean of its divisors is an integer number (89599770).

Almost surely, 2^4022104000 is an apocalyptic number.

4022104000 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 4022104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017587120).

4022104000 is an abundant number, since it is smaller than the sum of its proper divisors (6013070240).

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

4022104000 is a wasteful number, since it uses less digits than its factorization.

4022104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4022104000 is about 63420.0599179786. The cubic root of 4022104000 is about 1590.3196751856.

Adding to 4022104000 its reverse (4012204), we get a palindrome (4026116204).

The spelling of 4022104000 in words is "four billion, twenty-two million, one hundred four thousand".