4148897760 has 960 divisors, whose sum is σ = 18441561600. Its totient is φ = 856977408.

The previous prime is 4148897729. The next prime is 4148897771. The reversal of 4148897760 is 677988414.

It is a happy number.

4148897760 is a `hidden beast` number, since 4 + 1 + 488 + 97 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4148897697 and 4148897706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49986679 + ... + 49986761.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2^4148897760 is an apocalyptic number.

4148897760 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 4148897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220780800).

4148897760 is an abundant number, since it is smaller than the sum of its proper divisors (14292663840).

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

4148897760 is a wasteful number, since it uses less digits than its factorization.

4148897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4148897760 is about 64411.9380239409. The cubic root of 4148897760 is about 1606.8582895781.

The spelling of 4148897760 in words is "four billion, one hundred forty-eight million, eight hundred ninety-seven thousand, seven hundred sixty".