48742175063040 has 352 divisors, whose sum is σ = 162964980572160. Its totient is φ = 12419393126400.

The previous prime is 48742175062991. The next prime is 48742175063041. The reversal of 48742175063040 is 4036057124784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48742175063041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36968760 + ... + 38264520.

Almost surely, 2^{48742175063040} is an apocalyptic number.

48742175063040 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 48742175063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81482490286080).

48742175063040 is an abundant number, since it is smaller than the sum of its proper divisors (114222805509120).

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

48742175063040 is a wasteful number, since it uses less digits than its factorization.

48742175063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295899 (or 1295881 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 48742175063040 in words is "forty-eight trillion, seven hundred forty-two billion, one hundred seventy-five million, sixty-three thousand, forty".