4002600400 has 120 divisors (see below), whose sum is σ = 10014780888. Its totient is φ = 1536000000.

The previous prime is 4002600397. The next prime is 4002600451. The reversal of 4002600400 is 40062004.

It can be written as a sum of positive squares in 12 ways, for example, as 3900751936 + 101848464 = 62456^2 + 10092^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998400 + ... + 1002400.

Almost surely, 2^4002600400 is an apocalyptic number.

4002600400 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 4002600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007390444).

4002600400 is an abundant number, since it is smaller than the sum of its proper divisors (6012180488).

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

4002600400 is a wasteful number, since it uses less digits than its factorization.

4002600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4110 counting only the distinct ones).

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

The square root of 4002600400 is about 63266.1078303384. The cubic root of 4002600400 is about 1587.7449672605.

Adding to 4002600400 its reverse (40062004), we get a palindrome (4042662404).

The spelling of 4002600400 in words is "four billion, two million, six hundred thousand, four hundred".