4010122368 has 288 divisors, whose sum is σ = 14133834000. Its totient is φ = 1085156352.

The previous prime is 4010122313. The next prime is 4010122379. The reversal of 4010122368 is 8632210104.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070643 + ... + 1074381.

Almost surely, 2^4010122368 is an apocalyptic number.

4010122368 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 4010122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066917000).

4010122368 is an abundant number, since it is smaller than the sum of its proper divisors (10123711632).

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

4010122368 is a wasteful number, since it uses less digits than its factorization.

4010122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4010122368 is about 63325.5269855688. The cubic root of 4010122368 is about 1588.7389455154.

The spelling of 4010122368 in words is "four billion, ten million, one hundred twenty-two thousand, three hundred sixty-eight".