4021165512 has 256 divisors, whose sum is σ = 13849920000. Its totient is φ = 1052642304.

The previous prime is 4021165481. The next prime is 4021165523. The reversal of 4021165512 is 2155611204.

4021165512 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 1 + 655 + 1 + 2 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 2928058 + ... + 2929430.

It is an arithmetic number, because the mean of its divisors is an integer number (54101250).

Almost surely, 2^4021165512 is an apocalyptic number.

4021165512 is a gapful number since it is divisible by the number (42) 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 4021165512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924960000).

4021165512 is an abundant number, since it is smaller than the sum of its proper divisors (9828754488).

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

4021165512 is a wasteful number, since it uses less digits than its factorization.

4021165512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4021165512 is about 63412.6605024580. The cubic root of 4021165512 is about 1590.1959744203.

Adding to 4021165512 its reverse (2155611204), we get a palindrome (6176776716).

The spelling of 4021165512 in words is "four billion, twenty-one million, one hundred sixty-five thousand, five hundred twelve".