4214564640 has 576 divisors, whose sum is σ = 17151668352. Its totient is φ = 928972800.

The previous prime is 4214564623. The next prime is 4214564747. The reversal of 4214564640 is 464654124.

4214564640 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 5 + 6 + 4 + 640 = 666.

4214564640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4214564595 and 4214564604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19974135 + ... + 19974345.

It is an arithmetic number, because the mean of its divisors is an integer number (29777202).

Almost surely, 2^4214564640 is an apocalyptic number.

4214564640 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 4214564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575834176).

4214564640 is an abundant number, since it is smaller than the sum of its proper divisors (12937103712).

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

4214564640 is a wasteful number, since it uses less digits than its factorization.

4214564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

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

The square root of 4214564640 is about 64919.6783725859. The cubic root of 4214564640 is about 1615.2914949565.

The spelling of 4214564640 in words is "four billion, two hundred fourteen million, five hundred sixty-four thousand, six hundred forty".