4271815840 has 96 divisors (see below), whose sum is σ = 10225731600. Its totient is φ = 1686257664.

The previous prime is 4271815837. The next prime is 4271815897. The reversal of 4271815840 is 485181724.

It can be written as a sum of positive squares in 8 ways, for example, as 2471680656 + 1800135184 = 49716^2 + 42428^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4271815793 and 4271815802.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6309582 + ... + 6310258.

Almost surely, 2^4271815840 is an apocalyptic number.

4271815840 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 4271815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112865800).

4271815840 is an abundant number, since it is smaller than the sum of its proper divisors (5953915760).

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

4271815840 is a wasteful number, since it uses less digits than its factorization.

4271815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 4271815840 is about 65359.1297371683. The cubic root of 4271815840 is about 1622.5727346958.

The spelling of 4271815840 in words is "four billion, two hundred seventy-one million, eight hundred fifteen thousand, eight hundred forty".