5121446400 has 960 divisors, whose sum is σ = 22528915200. Its totient is φ = 1114767360.

The previous prime is 5121446383. The next prime is 5121446417. The reversal of 5121446400 is 46441215.

5121446400 is a `hidden beast` number, since 5 + 1 + 2 + 14 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5121446383) and next prime (5121446417).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70156764 + ... + 70156836.

It is an arithmetic number, because the mean of its divisors is an integer number (23467620).

Almost surely, 2^5121446400 is an apocalyptic number.

5121446400 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 5121446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11264457600).

5121446400 is an abundant number, since it is smaller than the sum of its proper divisors (17407468800).

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

5121446400 is a wasteful number, since it uses less digits than its factorization.

5121446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5121446400 is about 71564.2815935436. The cubic root of 5121446400 is about 1723.7100374912.

Adding to 5121446400 its reverse (46441215), we get a palindrome (5167887615).

The spelling of 5121446400 in words is "five billion, one hundred twenty-one million, four hundred forty-six thousand, four hundred".