4641017472 has 320 divisors, whose sum is σ = 17002339200. Its totient is φ = 1223755776.

The previous prime is 4641017449. The next prime is 4641017473. The reversal of 4641017472 is 2747101464.

It is a happy number.

4641017472 is a `hidden beast` number, since 4 + 6 + 410 + 174 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4641017473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 941029 + ... + 945947.

It is an arithmetic number, because the mean of its divisors is an integer number (53132310).

Almost surely, 2^4641017472 is an apocalyptic number.

4641017472 is a gapful number since it is divisible by the number (42) 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 4641017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501169600).

4641017472 is an abundant number, since it is smaller than the sum of its proper divisors (12361321728).

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

4641017472 is a wasteful number, since it uses less digits than its factorization.

4641017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4641017472 is about 68125.0135559620. The cubic root of 4641017472 is about 1668.0320888190.

The spelling of 4641017472 in words is "four billion, six hundred forty-one million, seventeen thousand, four hundred seventy-two".