4671450144 has 240 divisors, whose sum is σ = 14472235008. Its totient is φ = 1475324928.

The previous prime is 4671450127. The next prime is 4671450151. The reversal of 4671450144 is 4410541764.

It is a happy number.

4671450144 is a `hidden beast` number, since 4 + 67 + 1 + 450 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4671450099 and 4671450108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7570924 + ... + 7571540.

Almost surely, 2^4671450144 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 4671450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236117504).

4671450144 is an abundant number, since it is smaller than the sum of its proper divisors (9800784864).

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

4671450144 is a wasteful number, since it uses less digits than its factorization.

4671450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4671450144 is about 68348.0076081227. The cubic root of 4671450144 is about 1671.6700927964.

The spelling of 4671450144 in words is "four billion, six hundred seventy-one million, four hundred fifty thousand, one hundred forty-four".