4082257920 has 416 divisors, whose sum is σ = 14861750400. Its totient is φ = 948436992.

The previous prime is 4082257919. The next prime is 4082257937. The reversal of 4082257920 is 297522804.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15175546 + ... + 15175814.

Almost surely, 2^4082257920 is an apocalyptic number.

4082257920 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 4082257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430875200).

4082257920 is an abundant number, since it is smaller than the sum of its proper divisors (10779492480).

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

4082257920 is a wasteful number, since it uses less digits than its factorization.

4082257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4082257920 is about 63892.5498004267. The cubic root of 4082257920 is about 1598.2086618574.

The spelling of 4082257920 in words is "four billion, eighty-two million, two hundred fifty-seven thousand, nine hundred twenty".