4811397120 has 576 divisors, whose sum is σ = 18352020960. Its totient is φ = 1160773632.

The previous prime is 4811397061. The next prime is 4811397121. The reversal of 4811397120 is 217931184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 (4811397121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57968599 + ... + 57968681.

Almost surely, 2^4811397120 is an apocalyptic number.

4811397120 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 4811397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176010480).

4811397120 is an abundant number, since it is smaller than the sum of its proper divisors (13540623840).

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

4811397120 is a wasteful number, since it uses less digits than its factorization.

4811397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 4811397120 is about 69364.2351648167. The cubic root of 4811397120 is about 1688.1993729902.

The spelling of 4811397120 in words is "four billion, eight hundred eleven million, three hundred ninety-seven thousand, one hundred twenty".