5026001400 has 960 divisors, whose sum is σ = 21778606080. Its totient is φ = 1049241600.

The previous prime is 5026001399. The next prime is 5026001401. The reversal of 5026001400 is 41006205.

It is a happy number.

5026001400 is a `hidden beast` number, since 5 + 0 + 260 + 0 + 1 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5026001399) and next prime (5026001401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5026001401) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 106936177 + ... + 106936223.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^5026001400 is an apocalyptic number.

5026001400 is a gapful number since it is divisible by the number (50) 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 5026001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5026001400 is an abundant number, since it is smaller than the sum of its proper divisors (16752604680).

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

5026001400 is a wasteful number, since it uses less digits than its factorization.

5026001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5026001400 is about 70894.2973729199. The cubic root of 5026001400 is about 1712.9349412939.

Adding to 5026001400 its reverse (41006205), we get a palindrome (5067007605).

The spelling of 5026001400 in words is "five billion, twenty-six million, one thousand, four hundred".