4021987200 has 384 divisors, whose sum is σ = 16519299840. Its totient is φ = 835584000.

The previous prime is 4021987183. The next prime is 4021987223. The reversal of 4021987200 is 27891204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736480 + ... + 741920.

It is an arithmetic number, because the mean of its divisors is an integer number (43019010).

Almost surely, 2^4021987200 is an apocalyptic number.

4021987200 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 4021987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259649920).

4021987200 is an abundant number, since it is smaller than the sum of its proper divisors (12497312640).

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

4021987200 is a wasteful number, since it uses less digits than its factorization.

4021987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4021987200 is about 63419.1390670041. The cubic root of 4021987200 is about 1590.3042809926.

The spelling of 4021987200 in words is "four billion, twenty-one million, nine hundred eighty-seven thousand, two hundred".