4213677120 has 448 divisors, whose sum is σ = 15168798720. Its totient is φ = 984711168.

The previous prime is 4213677107. The next prime is 4213677121. The reversal of 4213677120 is 217763124.

4213677120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4213677120² = 35510149743222988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4213677121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33178497 + ... + 33178623.

Almost surely, 2^4213677120 is an apocalyptic number.

4213677120 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 4213677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584399360).

4213677120 is an abundant number, since it is smaller than the sum of its proper divisors (10955121600).

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

4213677120 is a wasteful number, since it uses less digits than its factorization.

4213677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4213677120 is about 64912.8424889867. The cubic root of 4213677120 is about 1615.1781021332.

The spelling of 4213677120 in words is "four billion, two hundred thirteen million, six hundred seventy-seven thousand, one hundred twenty".