48002419200 has 240 divisors, whose sum is σ = 160494165216. Its totient is φ = 12645580800.

The previous prime is 48002419193. The next prime is 48002419207. The reversal of 48002419200 is 291420084.

It is an interprime number because it is at equal distance from previous prime (48002419193) and next prime (48002419207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (48002419207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3179670 + ... + 3194730.

Almost surely, 2^48002419200 is an apocalyptic number.

48002419200 is a gapful number since it is divisible by the number (40) 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 48002419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247082608).

48002419200 is an abundant number, since it is smaller than the sum of its proper divisors (112491746016).

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

48002419200 is a wasteful number, since it uses less digits than its factorization.

48002419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15175 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 48002419200 its reverse (291420084), we get a palindrome (48293839284).

The spelling of 48002419200 in words is "forty-eight billion, two million, four hundred nineteen thousand, two hundred".