4146148640 has 48 divisors (see below), whose sum is σ = 9821678328. Its totient is φ = 1653989376.

The previous prime is 4146148639. The next prime is 4146148673. The reversal of 4146148640 is 468416414.

It can be written as a sum of positive squares in 4 ways, for example, as 3500378896 + 645769744 = 59164^2 + 25412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4146148594 and 4146148603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24944 + ... + 94416.

Almost surely, 2^4146148640 is an apocalyptic number.

4146148640 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 4146148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910839164).

4146148640 is an abundant number, since it is smaller than the sum of its proper divisors (5675529688).

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

4146148640 is a wasteful number, since it uses less digits than its factorization.

4146148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69861 (or 69853 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 4146148640 is about 64390.5943442053. The cubic root of 4146148640 is about 1606.5033019353.

The spelling of 4146148640 in words is "four billion, one hundred forty-six million, one hundred forty-eight thousand, six hundred forty".