4001260032 has 600 divisors, whose sum is σ = 15240162960. Its totient is φ = 1033482240.

The previous prime is 4001260001. The next prime is 4001260049. The reversal of 4001260032 is 2300621004.

It is a happy number.

4001260032 is a `hidden beast` number, since 400 + 1 + 260 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4001259987 and 4001260014.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22353319 + ... + 22353497.

Almost surely, 2^4001260032 is an apocalyptic number.

4001260032 is a gapful number since it is divisible by the number (42) 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 4001260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620081480).

4001260032 is an abundant number, since it is smaller than the sum of its proper divisors (11238902928).

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

4001260032 is a wasteful number, since it uses less digits than its factorization.

4001260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4001260032 is about 63255.5138466205. The cubic root of 4001260032 is about 1587.5677158128.

Adding to 4001260032 its reverse (2300621004), we get a palindrome (6301881036).

The spelling of 4001260032 in words is "four billion, one million, two hundred sixty thousand, thirty-two".