4010040240 has 320 divisors, whose sum is σ = 13576273920. Its totient is φ = 975421440.

The previous prime is 4010040217. The next prime is 4010040253. The reversal of 4010040240 is 420400104.

4010040240 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 (15).

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, 31575057 + ... + 31575183.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 2^4010040240 is an apocalyptic number.

4010040240 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 4010040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

4010040240 is an abundant number, since it is smaller than the sum of its proper divisors (9566233680).

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

4010040240 is a wasteful number, since it uses less digits than its factorization.

4010040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4010040240 is about 63324.8785233734. The cubic root of 4010040240 is about 1588.7280995586.

Adding to 4010040240 its reverse (420400104), we get a palindrome (4430440344).

The spelling of 4010040240 in words is "four billion, ten million, forty thousand, two hundred forty".