4291557120 has 288 divisors, whose sum is σ = 15894144000. Its totient is φ = 1094455296.

The previous prime is 4291557119. The next prime is 4291557209. The reversal of 4291557120 is 217551924.

4291557120 is a `hidden beast` number, since 4 + 2 + 91 + 557 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792181 + ... + 797579.

It is an arithmetic number, because the mean of its divisors is an integer number (55188000).

Almost surely, 2^4291557120 is an apocalyptic number.

4291557120 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 4291557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947072000).

4291557120 is an abundant number, since it is smaller than the sum of its proper divisors (11602586880).

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

4291557120 is a wasteful number, since it uses less digits than its factorization.

4291557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4291557120 is about 65509.9772553769. The cubic root of 4291557120 is about 1625.0683515233.

The spelling of 4291557120 in words is "four billion, two hundred ninety-one million, five hundred fifty-seven thousand, one hundred twenty".