48130790400 has 792 divisors, whose sum is σ = 214933427904. Its totient is φ = 9997516800.

The previous prime is 48130790399. The next prime is 48130790429. The reversal of 48130790400 is 409703184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17739444 + ... + 17742156.

Almost surely, 2^48130790400 is an apocalyptic number.

48130790400 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 48130790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107466713952).

48130790400 is an abundant number, since it is smaller than the sum of its proper divisors (166802637504).

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

48130790400 is a wasteful number, since it uses less digits than its factorization.

48130790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 48130790400 in words is "forty-eight billion, one hundred thirty million, seven hundred ninety thousand, four hundred".