5110442400 has 144 divisors (see below), whose sum is σ = 19010908224. Its totient is φ = 1168097280.

The previous prime is 5110442383. The next prime is 5110442423. The reversal of 5110442400 is 42440115.

It is a happy number.

It is a super-2 number, since 2×5110442400² = 52233243047435520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135297 + ... + 168896.

It is an arithmetic number, because the mean of its divisors is an integer number (132020196).

Almost surely, 2^5110442400 is an apocalyptic number.

5110442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5110442400 is an abundant number, since it is smaller than the sum of its proper divisors (13900465824).

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

5110442400 is a wasteful number, since it uses less digits than its factorization.

5110442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304223 (or 304210 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5110442400 is about 71487.3583229930. The cubic root of 5110442400 is about 1722.4746243707.

Adding to 5110442400 its reverse (42440115), we get a palindrome (5152882515).

The spelling of 5110442400 in words is "five billion, one hundred ten million, four hundred forty-two thousand, four hundred".