48728338475040 has 288 divisors, whose sum is σ = 190050777536256. Its totient is φ = 11137304770560.

The previous prime is 48728338475023. The next prime is 48728338475051. The reversal of 48728338475040 is 4057483382784.

48728338475040 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 83 + 3 + 8 + 47 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202195254 + ... + 202436106.

It is an arithmetic number, because the mean of its divisors is an integer number (659898533112).

Almost surely, 2^{48728338475040} is an apocalyptic number.

48728338475040 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 48728338475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95025388768128).

48728338475040 is an abundant number, since it is smaller than the sum of its proper divisors (141322439061216).

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

48728338475040 is a wasteful number, since it uses less digits than its factorization.

48728338475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260952 (or 260941 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 48728338475040 in words is "forty-eight trillion, seven hundred twenty-eight billion, three hundred thirty-eight million, four hundred seventy-five thousand, forty".