4601401344 has 364 divisors, whose sum is σ = 14610909216. Its totient is φ = 1445216256.

The previous prime is 4601401333. The next prime is 4601401391. The reversal of 4601401344 is 4431041064.

4601401344 is a `hidden beast` number, since 4 + 601 + 4 + 0 + 13 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 68677599 + ... + 68677665.

Almost surely, 2^4601401344 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 4601401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305454608).

4601401344 is an abundant number, since it is smaller than the sum of its proper divisors (10009507872).

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

4601401344 is an frugal number, since it uses more digits than its factorization.

4601401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4601401344 is about 67833.6298896056. The cubic root of 4601401344 is about 1663.2723643108.

The spelling of 4601401344 in words is "four billion, six hundred one million, four hundred one thousand, three hundred forty-four".