4000621248 has 336 divisors, whose sum is σ = 12884298336. Its totient is φ = 1178910720.

The previous prime is 4000621241. The next prime is 4000621259. The reversal of 4000621248 is 8421260004.

4000621248 is a `hidden beast` number, since 400 + 0 + 6 + 212 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (4000621241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25481586 + ... + 25481742.

It is an arithmetic number, because the mean of its divisors is an integer number (38346126).

Almost surely, 2^4000621248 is an apocalyptic number.

4000621248 is a gapful number since it is divisible by the number (48) 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 4000621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442149168).

4000621248 is an abundant number, since it is smaller than the sum of its proper divisors (8883677088).

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

4000621248 is a wasteful number, since it uses less digits than its factorization.

4000621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4000621248 is about 63250.4644093622. The cubic root of 4000621248 is about 1587.4832285247.

The spelling of 4000621248 in words is "four billion, six hundred twenty-one thousand, two hundred forty-eight".