4413951360 has 768 divisors, whose sum is σ = 19632715200. Its totient is φ = 928972800.

The previous prime is 4413951319. The next prime is 4413951431. The reversal of 4413951360 is 631593144.

4413951360 is a `hidden beast` number, since 4 + 4 + 139 + 513 + 6 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007160 + ... + 11007560.

Almost surely, 2^4413951360 is an apocalyptic number.

4413951360 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 4413951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816357600).

4413951360 is an abundant number, since it is smaller than the sum of its proper divisors (15218763840).

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

4413951360 is a wasteful number, since it uses less digits than its factorization.

4413951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4413951360 is about 66437.5749105881. The cubic root of 4413951360 is about 1640.3726299810.

The spelling of 4413951360 in words is "four billion, four hundred thirteen million, nine hundred fifty-one thousand, three hundred sixty".