48661055040 has 448 divisors, whose sum is σ = 176354841600. Its totient is φ = 11269103616.

The previous prime is 48661055033. The next prime is 48661055063. The reversal of 48661055040 is 4055016684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48661055040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38649931 + ... + 38651189.

It is an arithmetic number, because the mean of its divisors is an integer number (393649200).

Almost surely, 2^48661055040 is an apocalyptic number.

48661055040 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 48661055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88177420800).

48661055040 is an abundant number, since it is smaller than the sum of its proper divisors (127693786560).

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

48661055040 is a wasteful number, since it uses less digits than its factorization.

48661055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 48661055040 in words is "forty-eight billion, six hundred sixty-one million, fifty-five thousand, forty".