4012182720 has 840 divisors, whose sum is σ = 17952835824. Its totient is φ = 846526464.

The previous prime is 4012182703. The next prime is 4012182737. The reversal of 4012182720 is 272812104.

4012182720 is a `hidden beast` number, since 401 + 218 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4012182703) and next prime (4012182737).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×4012182720² = 32195220357333196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 308629434 + ... + 308629446.

Almost surely, 2^4012182720 is an apocalyptic number.

4012182720 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 4012182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976417912).

4012182720 is an abundant number, since it is smaller than the sum of its proper divisors (13940653104).

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

4012182720 is an frugal number, since it uses more digits than its factorization.

4012182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4012182720 is about 63341.7928385359. The cubic root of 4012182720 is about 1589.0109904989.

Adding to 4012182720 its reverse (272812104), we get a palindrome (4284994824).

The spelling of 4012182720 in words is "four billion, twelve million, one hundred eighty-two thousand, seven hundred twenty".