4010001240 has 384 divisors, whose sum is σ = 14774400000. Its totient is φ = 866460672.

The previous prime is 4010001221. The next prime is 4010001241. The reversal of 4010001240 is 421000104.

4010001240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010001241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20150661 + ... + 20150859.

It is an arithmetic number, because the mean of its divisors is an integer number (38475000).

Almost surely, 2^4010001240 is an apocalyptic number.

4010001240 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 4010001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387200000).

4010001240 is an abundant number, since it is smaller than the sum of its proper divisors (10764398760).

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

4010001240 is a wasteful number, since it uses less digits than its factorization.

4010001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4010001240 is about 63324.5705867793. The cubic root of 4010001240 is about 1588.7229491035.

Adding to 4010001240 its reverse (421000104), we get a palindrome (4431001344).

The spelling of 4010001240 in words is "four billion, ten million, one thousand, two hundred forty".