4021868760 has 384 divisors, whose sum is σ = 15317890560. Its totient is φ = 826675200.

The previous prime is 4021868759. The next prime is 4021868761. The reversal of 4021868760 is 678681204.

It is an interprime number because it is at equal distance from previous prime (4021868759) and next prime (4021868761).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021868761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5820015 + ... + 5820705.

It is an arithmetic number, because the mean of its divisors is an integer number (39890340).

Almost surely, 2^4021868760 is an apocalyptic number.

4021868760 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 4021868760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658945280).

4021868760 is an abundant number, since it is smaller than the sum of its proper divisors (11296021800).

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

4021868760 is a wasteful number, since it uses less digits than its factorization.

4021868760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4021868760 is about 63418.2052726187. The cubic root of 4021868760 is about 1590.2886703439.

The spelling of 4021868760 in words is "four billion, twenty-one million, eight hundred sixty-eight thousand, seven hundred sixty".