4021945600 has 216 divisors, whose sum is σ = 10538700480. Its totient is φ = 1516584960.

The previous prime is 4021945589. The next prime is 4021945633. The reversal of 4021945600 is 65491204.

It is a congruent number.

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, 13100647 + ... + 13100953.

It is an arithmetic number, because the mean of its divisors is an integer number (48790280).

Almost surely, 2^4021945600 is an apocalyptic number.

4021945600 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 4021945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269350240).

4021945600 is an abundant number, since it is smaller than the sum of its proper divisors (6516754880).

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

4021945600 is a wasteful number, since it uses less digits than its factorization.

4021945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 4021945600 is about 63418.8110894552. The cubic root of 4021945600 is about 1590.2987980574.

The spelling of 4021945600 in words is "four billion, twenty-one million, nine hundred forty-five thousand, six hundred".