48394130400 has 1728 divisors, whose sum is σ = 228486375936. Its totient is φ = 9704448000.

The previous prime is 48394130381. The next prime is 48394130413. The reversal of 48394130400 is 403149384.

48394130400 is a `hidden beast` number, since 483 + 9 + 4 + 130 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 793346370 + ... + 793346430.

It is an arithmetic number, because the mean of its divisors is an integer number (132225912).

Almost surely, 2^48394130400 is an apocalyptic number.

48394130400 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 48394130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114243187968).

48394130400 is an abundant number, since it is smaller than the sum of its proper divisors (180092245536).

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

48394130400 is a wasteful number, since it uses less digits than its factorization.

48394130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 48394130400 its reverse (403149384), we get a palindrome (48797279784).

The spelling of 48394130400 in words is "forty-eight billion, three hundred ninety-four million, one hundred thirty thousand, four hundred".