4215958560 has 144 divisors (see below), whose sum is σ = 15694922880. Its totient is φ = 1022046720.

The previous prime is 4215958547. The next prime is 4215958567. The reversal of 4215958560 is 658595124.

4215958560 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 9 + 585 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4215958567) 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, 117240 + ... + 148919.

It is an arithmetic number, because the mean of its divisors is an integer number (108992520).

Almost surely, 2^4215958560 is an apocalyptic number.

4215958560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4215958560 is an abundant number, since it is smaller than the sum of its proper divisors (11478964320).

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

4215958560 is a wasteful number, since it uses less digits than its factorization.

4215958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266191 (or 266180 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 4215958560 is about 64930.4132129159. The cubic root of 4215958560 is about 1615.4695551778.

The spelling of 4215958560 in words is "four billion, two hundred fifteen million, nine hundred fifty-eight thousand, five hundred sixty".