4146414048 has 72 divisors (see below), whose sum is σ = 13475852208. Its totient is φ = 1184689152.

The previous prime is 4146414047. The next prime is 4146414067. The reversal of 4146414048 is 8404146414.

4146414048 is a `hidden beast` number, since 4 + 1 + 4 + 641 + 4 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146414043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026361 + ... + 1030392.

It is an arithmetic number, because the mean of its divisors is an integer number (187164614).

Almost surely, 2^4146414048 is an apocalyptic number.

4146414048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4146414048 is an abundant number, since it is smaller than the sum of its proper divisors (9329438160).

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

4146414048 is a wasteful number, since it uses less digits than its factorization.

4146414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056776 (or 2056765 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4146414048 is about 64392.6552333416. The cubic root of 4146414048 is about 1606.5375803117.

The spelling of 4146414048 in words is "four billion, one hundred forty-six million, four hundred fourteen thousand, forty-eight".