4211450880 has 704 divisors, whose sum is σ = 17431400448. Its totient is φ = 843448320.

The previous prime is 4211450849. The next prime is 4211450891. The reversal of 4211450880 is 880541124.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32148415 + ... + 32148545.

It is an arithmetic number, because the mean of its divisors is an integer number (24760512).

Almost surely, 2^4211450880 is an apocalyptic number.

4211450880 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 4211450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715700224).

4211450880 is an abundant number, since it is smaller than the sum of its proper divisors (13219949568).

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

4211450880 is a wasteful number, since it uses less digits than its factorization.

4211450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 4211450880 is about 64895.6923069629. The cubic root of 4211450880 is about 1614.8935994339.

The spelling of 4211450880 in words is "four billion, two hundred eleven million, four hundred fifty thousand, eight hundred eighty".