47998310400 has 288 divisors, whose sum is σ = 176311371600. Its totient is φ = 12799180800.

The previous prime is 47998310389. The next prime is 47998310453. The reversal of 47998310400 is 401389974.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1365040 + ... + 1399760.

Almost surely, 2^47998310400 is an apocalyptic number.

47998310400 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 47998310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88155685800).

47998310400 is an abundant number, since it is smaller than the sum of its proper divisors (128313061200).

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

47998310400 is a wasteful number, since it uses less digits than its factorization.

47998310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34762 (or 34731 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 47998310400 in words is "forty-seven billion, nine hundred ninety-eight million, three hundred ten thousand, four hundred".