4345461120 has 1536 divisors, whose sum is σ = 21097843200. Its totient is φ = 743178240.

The previous prime is 4345461091. The next prime is 4345461121. The reversal of 4345461120 is 211645434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4345461121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228708471 + ... + 228708489.

It is an arithmetic number, because the mean of its divisors is an integer number (13735575).

Almost surely, 2^4345461120 is an apocalyptic number.

4345461120 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 4345461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

4345461120 is an abundant number, since it is smaller than the sum of its proper divisors (16752382080).

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

4345461120 is a wasteful number, since it uses less digits than its factorization.

4345461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4345461120 is about 65920.1116503909. Note that the first 3 decimals coincide. The cubic root of 4345461120 is about 1631.8439393255.

The spelling of 4345461120 in words is "four billion, three hundred forty-five million, four hundred sixty-one thousand, one hundred twenty".