4214648880 has 240 divisors, whose sum is σ = 15769615680. Its totient is φ = 1001613312.

The previous prime is 4214648861. The next prime is 4214648917. The reversal of 4214648880 is 888464124.

4214648880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263677 + ... + 279203.

It is an arithmetic number, because the mean of its divisors is an integer number (65706732).

Almost surely, 2^4214648880 is an apocalyptic number.

4214648880 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 4214648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884807840).

4214648880 is an abundant number, since it is smaller than the sum of its proper divisors (11554966800).

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

4214648880 is a wasteful number, since it uses less digits than its factorization.

4214648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4214648880 is about 64920.3271710795. The cubic root of 4214648880 is about 1615.3022569419.

The spelling of 4214648880 in words is "four billion, two hundred fourteen million, six hundred forty-eight thousand, eight hundred eighty".