4128621840 has 200 divisors, whose sum is σ = 16387968960. Its totient is φ = 943674624.

The previous prime is 4128621829. The next prime is 4128621841. The reversal of 4128621840 is 481268214.

4128621840 is a `hidden beast` number, since 4 + 1 + 28 + 621 + 8 + 4 + 0 = 666.

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 = 4128621795 and 4128621804.

It is not an unprimeable number, because it can be changed into a prime (4128621841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150 + ... + 90869.

Almost surely, 2^4128621840 is an apocalyptic number.

4128621840 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 4128621840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193984480).

4128621840 is an abundant number, since it is smaller than the sum of its proper divisors (12259347120).

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

4128621840 is a wasteful number, since it uses less digits than its factorization.

4128621840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91051 (or 91036 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4128621840 is about 64254.3526930277. The cubic root of 4128621840 is about 1604.2364085434.

The spelling of 4128621840 in words is "four billion, one hundred twenty-eight million, six hundred twenty-one thousand, eight hundred forty".