4454361072 has 360 divisors, whose sum is σ = 15251273856. Its totient is φ = 1254766464.

The previous prime is 4454361061. The next prime is 4454361091. The reversal of 4454361072 is 2701634544.

4454361072 is a `hidden beast` number, since 4 + 4 + 543 + 6 + 107 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19622623 + ... + 19622849.

Almost surely, 2^4454361072 is an apocalyptic number.

4454361072 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 4454361072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625636928).

4454361072 is an abundant number, since it is smaller than the sum of its proper divisors (10796912784).

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

4454361072 is a wasteful number, since it uses less digits than its factorization.

4454361072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4454361072 is about 66740.9999325752. Note that the first 4 decimals coincide. The cubic root of 4454361072 is about 1645.3632998706.

The spelling of 4454361072 in words is "four billion, four hundred fifty-four million, three hundred sixty-one thousand, seventy-two".