4291215456 has 96 divisors (see below), whose sum is σ = 12426825600. Its totient is φ = 1285729280.

The previous prime is 4291215413. The next prime is 4291215469. The reversal of 4291215456 is 6545121924.

4291215456 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71155 + ... + 116813.

It is an arithmetic number, because the mean of its divisors is an integer number (129446100).

Almost surely, 2^4291215456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4291215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213412800).

4291215456 is an abundant number, since it is smaller than the sum of its proper divisors (8135610144).

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

4291215456 is a wasteful number, since it uses less digits than its factorization.

4291215456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45772 (or 45764 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 4291215456 is about 65507.3694785556. The cubic root of 4291215456 is about 1625.0252248234.

The spelling of 4291215456 in words is "four billion, two hundred ninety-one million, two hundred fifteen thousand, four hundred fifty-six".