4121147520 has 384 divisors, whose sum is σ = 16649043840. Its totient is φ = 919683072.

The previous prime is 4121147507. The next prime is 4121147539. The reversal of 4121147520 is 257411214.

4121147520 is a `hidden beast` number, since 4 + 121 + 14 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732572 + ... + 1734948.

It is an arithmetic number, because the mean of its divisors is an integer number (43356885).

Almost surely, 2^4121147520 is an apocalyptic number.

4121147520 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 4121147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324521920).

4121147520 is an abundant number, since it is smaller than the sum of its proper divisors (12527896320).

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

4121147520 is a wasteful number, since it uses less digits than its factorization.

4121147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4121147520 is about 64196.1643714015. The cubic root of 4121147520 is about 1603.2677383023.

Adding to 4121147520 its reverse (257411214), we get a palindrome (4378558734).

The spelling of 4121147520 in words is "four billion, one hundred twenty-one million, one hundred forty-seven thousand, five hundred twenty".