4161451464 has 80 divisors (see below), whose sum is σ = 11717291520. Its totient is φ = 1379846880.

The previous prime is 4161451453. The next prime is 4161451493. The reversal of 4161451464 is 4641541614.

4161451464 is a `hidden beast` number, since 4 + 161 + 451 + 46 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106957 + ... + 140579.

It is an arithmetic number, because the mean of its divisors is an integer number (146466144).

Almost surely, 2^4161451464 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 4161451464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858645760).

4161451464 is an abundant number, since it is smaller than the sum of its proper divisors (7555840056).

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

4161451464 is a wasteful number, since it uses less digits than its factorization.

4161451464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33832 (or 33819 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4161451464 is about 64509.3130020775. The cubic root of 4161451464 is about 1608.4773310025.

It can be divided in two parts, 4161 and 451464, that added together give a square (455625 = 675²).

The spelling of 4161451464 in words is "four billion, one hundred sixty-one million, four hundred fifty-one thousand, four hundred sixty-four".