48800040000 has 560 divisors, whose sum is σ = 171871233600. Its totient is φ = 12192768000.

The previous prime is 48800039989. The next prime is 48800040007. The reversal of 48800040000 is 4000884.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48800040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128759811 + ... + 128760189.

Almost surely, 2^48800040000 is an apocalyptic number.

48800040000 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 48800040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85935616800).

48800040000 is an abundant number, since it is smaller than the sum of its proper divisors (123071193600).

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

48800040000 is a wasteful number, since it uses less digits than its factorization.

48800040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 48800040000 its reverse (4000884), we get a palindrome (48804040884).

The spelling of 48800040000 in words is "forty-eight billion, eight hundred million, forty thousand".