48400440000 has 560 divisors, whose sum is σ = 179469751296. Its totient is φ = 11404800000.

The previous prime is 48400439993. The next prime is 48400440031. The reversal of 48400440000 is 4400484.

It is a Cunningham number, because it is equal to 220001²-1.

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48839505 + ... + 48840495.

Almost surely, 2^48400440000 is an apocalyptic number.

48400440000 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 48400440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89734875648).

48400440000 is an abundant number, since it is smaller than the sum of its proper divisors (131069311296).

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

48400440000 is a wasteful number, since it uses less digits than its factorization.

48400440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 48400440000 its reverse (4400484), we get a palindrome (48404840484).

The spelling of 48400440000 in words is "forty-eight billion, four hundred million, four hundred forty thousand".