5110406400 has 216 divisors, whose sum is σ = 18399384864. Its totient is φ = 1238835200.

The previous prime is 5110406387. The next prime is 5110406417. The reversal of 5110406400 is 46040115.

5110406400 = T₃₁₅ + T₃₁₆ + ... + T₃₁₃₀.

It is a super-2 number, since 2×5110406400² = 52232507146321920000, which contains 22 as substring.

It is a congruent number.

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, 199102 + ... + 223298.

Almost surely, 2^5110406400 is an apocalyptic number.

5110406400 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 5110406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199692432).

5110406400 is an abundant number, since it is smaller than the sum of its proper divisors (13288978464).

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

5110406400 is a wasteful number, since it uses less digits than its factorization.

5110406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24237 (or 24218 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5110406400 is about 71487.1065297792. The cubic root of 5110406400 is about 1722.4705797611.

Adding to 5110406400 its reverse (46040115), we get a palindrome (5156446515).

The spelling of 5110406400 in words is "five billion, one hundred ten million, four hundred six thousand, four hundred".