4002000400 has 120 divisors (see below), whose sum is σ = 10215814400. Its totient is φ = 1502323200.

The previous prime is 4002000347. The next prime is 4002000421. The reversal of 4002000400 is 40002004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825985 + ... + 830815.

Almost surely, 2^4002000400 is an apocalyptic number.

4002000400 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 4002000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107907200).

4002000400 is an abundant number, since it is smaller than the sum of its proper divisors (6213814000).

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

4002000400 is a wasteful number, since it uses less digits than its factorization.

4002000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4002000400 is about 63261.3657772262. The cubic root of 4002000400 is about 1587.6656276237.

Adding to 4002000400 its reverse (40002004), we get a palindrome (4042002404).

The spelling of 4002000400 in words is "four billion, two million, four hundred", and thus it is an aban number.