4146970548960 has 144 divisors (see below), whose sum is σ = 14896354833360. Its totient is φ = 1047655710720.

The previous prime is 4146970548907. The next prime is 4146970548961. The reversal of 4146970548960 is 698450796414.

4146970548960 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 97 + 0 + 5 + 489 + 60 = 666.

4146970548960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146970548961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75757921 + ... + 75812640.

It is an arithmetic number, because the mean of its divisors is an integer number (103446908565).

Almost surely, 2^{4146970548960} is an apocalyptic number.

4146970548960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4146970548960 is an abundant number, since it is smaller than the sum of its proper divisors (10749384284400).

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

4146970548960 is a wasteful number, since it uses less digits than its factorization.

4146970548960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151570601 (or 151570590 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4146970548960 in words is "four trillion, one hundred forty-six billion, nine hundred seventy million, five hundred forty-eight thousand, nine hundred sixty".