4080862800 has 360 divisors, whose sum is σ = 16433192256. Its totient is φ = 918466560.

The previous prime is 4080862787. The next prime is 4080862813. The reversal of 4080862800 is 82680804.

It is an interprime number because it is at equal distance from previous prime (4080862787) and next prime (4080862813).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1687192 + ... + 1689608.

Almost surely, 2^4080862800 is an apocalyptic number.

4080862800 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 4080862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216596128).

4080862800 is an abundant number, since it is smaller than the sum of its proper divisors (12352329456).

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

4080862800 is a wasteful number, since it uses less digits than its factorization.

4080862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2501 counting only the distinct ones).

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

The square root of 4080862800 is about 63881.6311626433. The cubic root of 4080862800 is about 1598.0265774194.

The spelling of 4080862800 in words is "four billion, eighty million, eight hundred sixty-two thousand, eight hundred".