4152012480 has 672 divisors, whose sum is σ = 18495751680. Its totient is φ = 851834880.

The previous prime is 4152012467. The next prime is 4152012481. The reversal of 4152012480 is 842102514.

4152012480 is a `hidden beast` number, since 41 + 520 + 1 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152012481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 52557081 + ... + 52557159.

It is an arithmetic number, because the mean of its divisors is an integer number (27523440).

Almost surely, 2^4152012480 is an apocalyptic number.

4152012480 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 4152012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247875840).

4152012480 is an abundant number, since it is smaller than the sum of its proper divisors (14343739200).

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

4152012480 is a wasteful number, since it uses less digits than its factorization.

4152012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4152012480 is about 64436.1116145287. Note that the first 3 decimals coincide. The cubic root of 4152012480 is about 1607.2602968911.

Adding to 4152012480 its reverse (842102514), we get a palindrome (4994114994).

The spelling of 4152012480 in words is "four billion, one hundred fifty-two million, twelve thousand, four hundred eighty".