4001228280 has 576 divisors, whose sum is σ = 16253153280. Its totient is φ = 881798400.

The previous prime is 4001228263. The next prime is 4001228291. The reversal of 4001228280 is 828221004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14764545 + ... + 14764815.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 2^4001228280 is an apocalyptic number.

4001228280 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 4001228280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126576640).

4001228280 is an abundant number, since it is smaller than the sum of its proper divisors (12251925000).

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

4001228280 is a wasteful number, since it uses less digits than its factorization.

4001228280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4001228280 is about 63255.2628640495. The cubic root of 4001228280 is about 1587.5635164204.

Adding to 4001228280 its reverse (828221004), we get a palindrome (4829449284).

The spelling of 4001228280 in words is "four billion, one million, two hundred twenty-eight thousand, two hundred eighty".