4021409280 has 640 divisors, whose sum is σ = 16090398720. Its totient is φ = 836075520.

The previous prime is 4021409251. The next prime is 4021409317. The reversal of 4021409280 is 829041204.

4021409280 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 31664577 + ... + 31664703.

It is an arithmetic number, because the mean of its divisors is an integer number (25141248).

Almost surely, 2^4021409280 is an apocalyptic number.

4021409280 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 4021409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045199360).

4021409280 is an abundant number, since it is smaller than the sum of its proper divisors (12068989440).

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

4021409280 is a wasteful number, since it uses less digits than its factorization.

4021409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4021409280 is about 63414.5825500728. The cubic root of 4021409280 is about 1590.2281069831.

The spelling of 4021409280 in words is "four billion, twenty-one million, four hundred nine thousand, two hundred eighty".