4001235840 has 512 divisors, whose sum is σ = 17057664000. Its totient is φ = 865935360.

The previous prime is 4001235793. The next prime is 4001235869. The reversal of 4001235840 is 485321004.

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 63 ways as a sum of consecutive naturals, for example, 2297370 + ... + 2299110.

It is an arithmetic number, because the mean of its divisors is an integer number (33315750).

Almost surely, 2^4001235840 is an apocalyptic number.

4001235840 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 4001235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528832000).

4001235840 is an abundant number, since it is smaller than the sum of its proper divisors (13056428160).

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

4001235840 is a wasteful number, since it uses less digits than its factorization.

4001235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4001235840 is about 63255.3226218948. The cubic root of 4001235840 is about 1587.5645162777.

Adding to 4001235840 its reverse (485321004), we get a palindrome (4486556844).

The spelling of 4001235840 in words is "four billion, one million, two hundred thirty-five thousand, eight hundred forty".