5042102400 has 288 divisors, whose sum is σ = 18614852100. Its totient is φ = 1297981440.

The previous prime is 5042102363. The next prime is 5042102449. The reversal of 5042102400 is 42012405.

5042102400 is a `hidden beast` number, since 5 + 0 + 421 + 0 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1127347776 + 3914754624 = 33576^2 + 62568^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5042102400² = 50845593224171520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832182 + ... + 838218.

Almost surely, 2^5042102400 is an apocalyptic number.

5042102400 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 5042102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307426050).

5042102400 is an abundant number, since it is smaller than the sum of its proper divisors (13572749700).

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

5042102400 is a wasteful number, since it uses less digits than its factorization.

5042102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5042102400 is about 71007.7629558910. The cubic root of 5042102400 is about 1714.7621437703.

Adding to 5042102400 its reverse (42012405), we get a palindrome (5084114805).

The spelling of 5042102400 in words is "five billion, forty-two million, one hundred two thousand, four hundred".