4214654640 has 240 divisors, whose sum is σ = 16887713760. Its totient is φ = 963325440.

The previous prime is 4214654629. The next prime is 4214654657. The reversal of 4214654640 is 464564124.

4214654640 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 6 + 5 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4214654595 and 4214654604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85930 + ... + 125750.

It is an arithmetic number, because the mean of its divisors is an integer number (70365474).

Almost surely, 2^4214654640 is an apocalyptic number.

4214654640 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 4214654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443856880).

4214654640 is an abundant number, since it is smaller than the sum of its proper divisors (12673059120).

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

4214654640 is a wasteful number, since it uses less digits than its factorization.

4214654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39857 (or 39838 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4214654640 is about 64920.3715331328. The cubic root of 4214654640 is about 1615.3029927989.

The spelling of 4214654640 in words is "four billion, two hundred fourteen million, six hundred fifty-four thousand, six hundred forty".