4148651520 has 720 divisors, whose sum is σ = 16913136240. Its totient is φ = 967458816.

The previous prime is 4148651513. The next prime is 4148651537. The reversal of 4148651520 is 251568414.

It is a happy number.

4148651520 is a `hidden beast` number, since 4 + 1 + 4 + 86 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4148651520² = 34422618868796620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218350071 + ... + 218350089.

It is an arithmetic number, because the mean of its divisors is an integer number (23490467).

Almost surely, 2^4148651520 is an apocalyptic number.

4148651520 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 4148651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456568120).

4148651520 is an abundant number, since it is smaller than the sum of its proper divisors (12764484720).

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

4148651520 is an frugal number, since it uses more digits than its factorization.

4148651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4148651520 is about 64410.0265486671. The cubic root of 4148651520 is about 1606.8264995593.

The spelling of 4148651520 in words is "four billion, one hundred forty-eight million, six hundred fifty-one thousand, five hundred twenty".