48420403200 has 864 divisors, whose sum is σ = 191301037200. Its totient is φ = 11631329280.

The previous prime is 48420403151. The next prime is 48420403217. The reversal of 48420403200 is 230402484.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353433532 + ... + 353433668.

Almost surely, 2^48420403200 is an apocalyptic number.

48420403200 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 48420403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95650518600).

48420403200 is an abundant number, since it is smaller than the sum of its proper divisors (142880634000).

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

48420403200 is a wasteful number, since it uses less digits than its factorization.

48420403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 48420403200 its reverse (230402484), we get a palindrome (48650805684).

The spelling of 48420403200 in words is "forty-eight billion, four hundred twenty million, four hundred three thousand, two hundred".