4083420264 has 256 divisors, whose sum is σ = 14187571200. Its totient is φ = 945561600.

The previous prime is 4083420259. The next prime is 4083420277. The reversal of 4083420264 is 4620243804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593484 + ... + 600324.

It is an arithmetic number, because the mean of its divisors is an integer number (55420200).

Almost surely, 2^4083420264 is an apocalyptic number.

4083420264 is a gapful number since it is divisible by the number (44) 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 4083420264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093785600).

4083420264 is an abundant number, since it is smaller than the sum of its proper divisors (10104150936).

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

4083420264 is a wasteful number, since it uses less digits than its factorization.

4083420264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4083420264 is about 63901.6452370360. The cubic root of 4083420264 is about 1598.3603337999.

The spelling of 4083420264 in words is "four billion, eighty-three million, four hundred twenty thousand, two hundred sixty-four".