4022460000 has 600 divisors, whose sum is σ = 16003177344. Its totient is φ = 984960000.

The previous prime is 4022459989. The next prime is 4022460007. The reversal of 4022460000 is 642204.

4022460000 is a `hidden beast` number, since 40 + 2 + 24 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022460007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21059905 + ... + 21060095.

Almost surely, 2^4022460000 is an apocalyptic number.

4022460000 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 4022460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001588672).

4022460000 is an abundant number, since it is smaller than the sum of its proper divisors (11980717344).

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

4022460000 is a wasteful number, since it uses less digits than its factorization.

4022460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022460000 is about 63422.8665388123. The cubic root of 4022460000 is about 1590.3665940040.

The spelling of 4022460000 in words is "four billion, twenty-two million, four hundred sixty thousand".