4020868800 has 504 divisors, whose sum is σ = 15752283456. Its totient is φ = 966574080.

The previous prime is 4020868799. The next prime is 4020868807. The reversal of 4020868800 is 88680204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4020868807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8798172 + ... + 8798628.

Almost surely, 2^4020868800 is an apocalyptic number.

4020868800 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 4020868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876141728).

4020868800 is an abundant number, since it is smaller than the sum of its proper divisors (11731414656).

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

4020868800 is a wasteful number, since it uses less digits than its factorization.

4020868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4020868800 is about 63410.3209264864. The cubic root of 4020868800 is about 1590.1568612302.

The spelling of 4020868800 in words is "four billion, twenty million, eight hundred sixty-eight thousand, eight hundred".