4214661120 has 448 divisors, whose sum is σ = 15538947840. Its totient is φ = 1082916864.

The previous prime is 4214661109. The next prime is 4214661193. The reversal of 4214661120 is 211664124.

4214661120 is a `hidden beast` number, since 4 + 2 + 1 + 46 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 40918989 + ... + 40919091.

Almost surely, 2^4214661120 is an apocalyptic number.

4214661120 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 4214661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769473920).

4214661120 is an abundant number, since it is smaller than the sum of its proper divisors (11324286720).

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

4214661120 is a wasteful number, since it uses less digits than its factorization.

4214661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4214661120 is about 64920.4214404066. The cubic root of 4214661120 is about 1615.3038206372.

The spelling of 4214661120 in words is "four billion, two hundred fourteen million, six hundred sixty-one thousand, one hundred twenty".