48120204240 has 240 divisors, whose sum is σ = 164631754560. Its totient is φ = 12593387520.

The previous prime is 48120204217. The next prime is 48120204241. The reversal of 48120204240 is 4240202184.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48120204241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11087991 + ... + 11092329.

It is an arithmetic number, because the mean of its divisors is an integer number (685965644).

Almost surely, 2^48120204240 is an apocalyptic number.

48120204240 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 48120204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82315877280).

48120204240 is an abundant number, since it is smaller than the sum of its proper divisors (116511550320).

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

48120204240 is a wasteful number, since it uses less digits than its factorization.

48120204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 48120204240 in words is "forty-eight billion, one hundred twenty million, two hundred four thousand, two hundred forty".