4001420032 has 72 divisors (see below), whose sum is σ = 8392255200. Its totient is φ = 1900462080.

The previous prime is 4001420011. The next prime is 4001420057. The reversal of 4001420032 is 2300241004.

It is a super-2 number, since 2×4001420032² = 32022724544981762048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4001419988 and 4001420015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875032 + ... + 879592.

It is an arithmetic number, because the mean of its divisors is an integer number (116559100).

Almost surely, 2^4001420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196127600).

4001420032 is an abundant number, since it is smaller than the sum of its proper divisors (4390835168).

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

4001420032 is a wasteful number, since it uses less digits than its factorization.

4001420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4001420032 is about 63256.7785458602. The cubic root of 4001420032 is about 1587.5888764344.

Adding to 4001420032 its reverse (2300241004), we get a palindrome (6301661036).

The spelling of 4001420032 in words is "four billion, one million, four hundred twenty thousand, thirty-two".