4276821120 has 512 divisors, whose sum is σ = 16487573760. Its totient is φ = 928972800.

The previous prime is 4276821097. The next prime is 4276821179. The reversal of 4276821120 is 211286724.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10158510 + ... + 10158930.

Almost surely, 2^4276821120 is an apocalyptic number.

4276821120 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 4276821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243786880).

4276821120 is an abundant number, since it is smaller than the sum of its proper divisors (12210752640).

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

4276821120 is a wasteful number, since it uses less digits than its factorization.

4276821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4276821120 is about 65397.4091229920. The cubic root of 4276821120 is about 1623.2062093327.

The spelling of 4276821120 in words is "four billion, two hundred seventy-six million, eight hundred twenty-one thousand, one hundred twenty".