4002550400 has 96 divisors (see below), whose sum is σ = 9975951900. Its totient is φ = 1586708480.

The previous prime is 4002550303. The next prime is 4002550403. The reversal of 4002550400 is 40552004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25482304 + 3977068096 = 5048^2 + 63064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4002550403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356066 + ... + 367134.

Almost surely, 2^4002550400 is an apocalyptic number.

4002550400 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 4002550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987975950).

4002550400 is an abundant number, since it is smaller than the sum of its proper divisors (5973401500).

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

4002550400 is a wasteful number, since it uses less digits than its factorization.

4002550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4002550400 is about 63265.7126728214. The cubic root of 4002550400 is about 1587.7383559269.

The spelling of 4002550400 in words is "four billion, two million, five hundred fifty thousand, four hundred".